LMFDB - Embedded newform 300.2.w.a.223.27

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(67,300)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 0, 13]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("300.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			223.27
Character	$\chi$	$=$	300.223
Dual form			300.2.w.a.187.27

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.36240 + 0.379279i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(1.71229 + 1.03346i) q^{4} +(-1.79198 + 1.33746i) q^{5} +(-0.280579 - 1.38610i) q^{6} +(2.79588 + 2.79588i) q^{7} +(1.94087 + 2.05743i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(1.36240 + 0.379279i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(1.71229 + 1.03346i) q^{4} +(-1.79198 + 1.33746i) q^{5} +(-0.280579 - 1.38610i) q^{6} +(2.79588 + 2.79588i) q^{7} +(1.94087 + 2.05743i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-2.94867 + 1.14251i) q^{10} +(1.49834 + 2.06228i) q^{11} +(0.143457 - 1.99485i) q^{12} +(-1.10654 - 6.98639i) q^{13} +(2.74870 + 4.86953i) q^{14} +(2.00523 + 0.989470i) q^{15} +(1.86391 + 3.53919i) q^{16} +(2.15509 + 1.09807i) q^{17} +(-1.10764 + 0.879274i) q^{18} +(-1.18012 - 3.63205i) q^{19} +(-4.45062 + 0.438185i) q^{20} +(1.22184 - 3.76044i) q^{21} +(1.25916 + 3.37795i) q^{22} +(-0.422442 + 2.66719i) q^{23} +(0.952052 - 2.66338i) q^{24} +(1.42238 - 4.79341i) q^{25} +(1.14224 - 9.93798i) q^{26} +(0.987688 + 0.156434i) q^{27} +(1.89793 + 7.67680i) q^{28} +(-3.49731 - 1.13635i) q^{29} +(2.35665 + 2.10860i) q^{30} +(-0.552116 + 0.179393i) q^{31} +(1.19705 + 5.52875i) q^{32} +(1.15728 - 2.27129i) q^{33} +(2.51962 + 2.31340i) q^{34} +(-8.74953 - 1.27077i) q^{35} +(-1.84255 + 0.777821i) q^{36} +(-6.38491 + 1.01127i) q^{37} +(-0.230247 - 5.39592i) q^{38} +(-5.72257 + 4.15769i) q^{39} +(-6.22974 - 1.09104i) q^{40} +(-9.43182 - 6.85262i) q^{41} +(3.09090 - 4.65983i) q^{42} +(2.64040 - 2.64040i) q^{43} +(0.434299 + 5.07972i) q^{44} +(-0.0287311 - 2.23588i) q^{45} +(-1.58715 + 3.47357i) q^{46} +(3.64854 - 1.85903i) q^{47} +(2.30724 - 3.26751i) q^{48} +8.63383i q^{49} +(3.75591 - 5.99109i) q^{50} -2.41871i q^{51} +(5.32547 - 13.1063i) q^{52} +(1.48710 - 0.757713i) q^{53} +(1.28630 + 0.587737i) q^{54} +(-5.44322 - 1.69160i) q^{55} +(-0.325905 + 11.1788i) q^{56} +(-2.70042 + 2.70042i) q^{57} +(-4.33376 - 2.87462i) q^{58} +(3.32796 + 2.41790i) q^{59} +(2.41096 + 3.76660i) q^{60} +(0.266612 - 0.193705i) q^{61} +(-0.820246 + 0.0350003i) q^{62} +(-3.90528 + 0.618536i) q^{63} +(-0.466067 + 7.98641i) q^{64} +(11.3269 + 11.0395i) q^{65} +(2.43813 - 2.65548i) q^{66} +(6.22724 - 12.2216i) q^{67} +(2.55533 + 4.10742i) q^{68} +(2.56827 - 0.834482i) q^{69} +(-11.4384 - 5.04982i) q^{70} +(-13.4958 - 4.38504i) q^{71} +(-2.80531 + 0.360866i) q^{72} +(10.3084 + 1.63269i) q^{73} +(-9.08238 - 1.04390i) q^{74} +(-4.91671 + 0.908811i) q^{75} +(1.73287 - 7.43876i) q^{76} +(-1.57673 + 9.95505i) q^{77} +(-9.37338 + 3.49400i) q^{78} +(-1.99346 + 6.13522i) q^{79} +(-8.07362 - 3.84925i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-10.2509 - 12.9133i) q^{82} +(11.3745 + 5.79562i) q^{83} +(5.97844 - 5.17626i) q^{84} +(-5.33050 + 0.914627i) q^{85} +(4.59874 - 2.59584i) q^{86} +(0.575255 + 3.63202i) q^{87} +(-1.33494 + 7.08535i) q^{88} +(-5.98909 - 8.24328i) q^{89} +(0.808881 - 3.05708i) q^{90} +(16.4393 - 22.6268i) q^{91} +(-3.47979 + 4.13044i) q^{92} +(0.410496 + 0.410496i) q^{93} +(5.67588 - 1.14893i) q^{94} +(6.97250 + 4.93019i) q^{95} +(4.38270 - 3.57658i) q^{96} +(0.0710037 + 0.139353i) q^{97} +(-3.27463 + 11.7628i) q^{98} -2.54912 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8}+O(q^{10}) $ 240 * q + 12 * q^8	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{11}{20}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.36240	+	0.379279i	0.963366	+	0.268191i
$2$	1.36240	+	0.379279i	0.963366	+	0.268191i
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$4$	1.71229	+	1.03346i	0.856147	+	0.516732i
$5$	−1.79198	+	1.33746i	−0.801398	+	0.598132i
$5$	−1.79198	+	1.33746i	−0.801398	+	0.598132i
$6$	−0.280579	−	1.38610i	−0.114546	−	0.565873i
$7$	2.79588	+	2.79588i	1.05674	+	1.05674i	0.998290	+	0.0584512i	$0.0186162\pi$
$7$	2.79588	+	2.79588i	1.05674	+	1.05674i	0.0584512	+	0.998290i	$0.481384\pi$
$8$	1.94087	+	2.05743i	0.686200	+	0.727413i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	−2.94867	+	1.14251i	−0.932453	+	0.361292i
$11$	1.49834	+	2.06228i	0.451766	+	0.621802i	0.972776	−	0.231748i	$-0.0744446\pi$
$11$	1.49834	+	2.06228i	0.451766	+	0.621802i	−0.521010	+	0.853551i	$0.674445\pi$
$12$	0.143457	−	1.99485i	0.0414126	−	0.575863i
$13$	−1.10654	−	6.98639i	−0.306898	−	1.93768i	−0.345491	−	0.938422i	$-0.612288\pi$
$13$	−1.10654	−	6.98639i	−0.306898	−	1.93768i	0.0385932	−	0.999255i	$-0.487712\pi$
$14$	2.74870	+	4.86953i	0.734620	+	1.30144i
$15$	2.00523	+	0.989470i	0.517748	+	0.255480i
$16$	1.86391	+	3.53919i	0.465976	+	0.884797i
$17$	2.15509	+	1.09807i	0.522685	+	0.266321i	0.695365	−	0.718657i	$-0.255243\pi$
$17$	2.15509	+	1.09807i	0.522685	+	0.266321i	−0.172680	+	0.984978i	$0.555243\pi$
$18$	−1.10764	+	0.879274i	−0.261074	+	0.207247i
$19$	−1.18012	−	3.63205i	−0.270739	−	0.833250i	−0.990315	−	0.138836i	$-0.955664\pi$
$19$	−1.18012	−	3.63205i	−0.270739	−	0.833250i	0.719576	−	0.694414i	$-0.244336\pi$
$20$	−4.45062	+	0.438185i	−0.995188	+	0.0979811i
$21$	1.22184	−	3.76044i	0.266628	−	0.820596i
$22$	1.25916	+	3.37795i	0.268454	+	0.720182i
$23$	−0.422442	+	2.66719i	−0.0880852	+	0.556148i	0.903693	+	0.428181i	$0.140845\pi$
$23$	−0.422442	+	2.66719i	−0.0880852	+	0.556148i	−0.991778	+	0.127967i	$0.959155\pi$
$24$	0.952052	−	2.66338i	0.194337	−	0.543660i
$25$	1.42238	−	4.79341i	0.284477	−	0.958683i
$26$	1.14224	−	9.93798i	0.224012	−	1.94900i
$27$	0.987688	+	0.156434i	0.190081	+	0.0301058i
$28$	1.89793	+	7.67680i	0.358674	+	1.45078i
$29$	−3.49731	−	1.13635i	−0.649434	−	0.211014i	−0.0342697	−	0.999413i	$-0.510911\pi$
$29$	−3.49731	−	1.13635i	−0.649434	−	0.211014i	−0.615165	+	0.788399i	$0.710911\pi$
$30$	2.35665	+	2.10860i	0.430264	+	0.384976i
$31$	−0.552116	+	0.179393i	−0.0991630	+	0.0322200i	−0.358178	−	0.933653i	$-0.616602\pi$
$31$	−0.552116	+	0.179393i	−0.0991630	+	0.0322200i	0.259015	+	0.965873i	$0.416602\pi$
$32$	1.19705	+	5.52875i	0.211611	+	0.977354i
$33$	1.15728	−	2.27129i	0.201456	−	0.395380i
$34$	2.51962	+	2.31340i	0.432112	+	0.396744i
$35$	−8.74953	−	1.27077i	−1.47894	−	0.214800i
$36$	−1.84255	+	0.777821i	−0.307092	+	0.129637i
$37$	−6.38491	+	1.01127i	−1.04967	+	0.166252i	−0.657357	−	0.753579i	$-0.728326\pi$
$37$	−6.38491	+	1.01127i	−1.04967	+	0.166252i	−0.392315	+	0.919831i	$0.628326\pi$
$38$	−0.230247	−	5.39592i	−0.0373510	−	0.875334i
$39$	−5.72257	+	4.15769i	−0.916344	+	0.665763i
$40$	−6.22974	−	1.09104i	−0.985008	−	0.172509i
$41$	−9.43182	−	6.85262i	−1.47300	−	1.07020i	−0.979730	−	0.200324i	$-0.935800\pi$
$41$	−9.43182	−	6.85262i	−1.47300	−	1.07020i	−0.493273	−	0.869875i	$-0.664200\pi$
$42$	3.09090	−	4.65983i	0.476937	−	0.719027i
$43$	2.64040	−	2.64040i	0.402657	−	0.402657i	−0.476512	−	0.879168i	$-0.658099\pi$
$43$	2.64040	−	2.64040i	0.402657	−	0.402657i	0.879168	+	0.476512i	$0.158099\pi$
$44$	0.434299	+	5.07972i	0.0654730	+	0.765796i
$45$	−0.0287311	−	2.23588i	−0.00428298	−	0.333306i
$46$	−1.58715	+	3.47357i	−0.234012	+	0.512150i
$47$	3.64854	−	1.85903i	0.532195	−	0.271167i	−0.167174	−	0.985927i	$-0.553464\pi$
$47$	3.64854	−	1.85903i	0.532195	−	0.271167i	0.699369	+	0.714760i	$0.253464\pi$
$48$	2.30724	−	3.26751i	0.333022	−	0.471624i
$49$			8.63383i			1.23340i
$50$	3.75591	−	5.99109i	0.531165	−	0.847268i
$51$		−	2.41871i		−	0.338687i
$52$	5.32547	−	13.1063i	0.738510	−	1.81752i
$53$	1.48710	−	0.757713i	0.204268	−	0.104080i	−0.348864	−	0.937173i	$-0.613432\pi$
$53$	1.48710	−	0.757713i	0.204268	−	0.104080i	0.553132	+	0.833093i	$0.313432\pi$
$54$	1.28630	+	0.587737i	0.175043	+	0.0799808i
$55$	−5.44322	−	1.69160i	−0.733964	−	0.228095i
$56$	−0.325905	+	11.1788i	−0.0435509	+	1.49382i
$57$	−2.70042	+	2.70042i	−0.357679	+	0.357679i
$58$	−4.33376	−	2.87462i	−0.569051	−	0.377456i
$59$	3.32796	+	2.41790i	0.433263	+	0.314784i	0.782952	−	0.622082i	$-0.213713\pi$
$59$	3.32796	+	2.41790i	0.433263	+	0.314784i	−0.349689	+	0.936866i	$0.613713\pi$
$60$	2.41096	+	3.76660i	0.311254	+	0.486266i
$61$	0.266612	−	0.193705i	0.0341362	−	0.0248014i	−0.570586	−	0.821238i	$-0.693284\pi$
$61$	0.266612	−	0.193705i	0.0341362	−	0.0248014i	0.604723	+	0.796436i	$0.293284\pi$
$62$	−0.820246	+	0.0350003i	−0.104171	+	0.00444505i
$63$	−3.90528	+	0.618536i	−0.492020	+	0.0779282i
$64$	−0.466067	+	7.98641i	−0.0582584	+	0.998302i
$65$	11.3269	+	11.0395i	1.40493	+	1.36928i
$66$	2.43813	−	2.65548i	0.300113	−	0.326867i
$67$	6.22724	−	12.2216i	0.760778	−	1.49311i	−0.105972	−	0.994369i	$-0.533795\pi$
$67$	6.22724	−	12.2216i	0.760778	−	1.49311i	0.866750	−	0.498743i	$-0.166205\pi$
$68$	2.55533	+	4.10742i	0.309879	+	0.498098i
$69$	2.56827	−	0.834482i	0.309183	−	0.100460i
$70$	−11.4384	−	5.04982i	−1.36715	−	0.603569i
$71$	−13.4958	−	4.38504i	−1.60165	−	0.520409i	−0.634138	−	0.773220i	$-0.718645\pi$
$71$	−13.4958	−	4.38504i	−1.60165	−	0.520409i	−0.967516	+	0.252811i	$0.918645\pi$
$72$	−2.80531	+	0.360866i	−0.330609	+	0.0425284i
$73$	10.3084	+	1.63269i	1.20650	+	0.191092i	0.727118	−	0.686512i	$-0.240859\pi$
$73$	10.3084	+	1.63269i	1.20650	+	0.191092i	0.479387	+	0.877604i	$0.340859\pi$
$74$	−9.08238	−	1.04390i	−1.05581	−	0.121351i
$75$	−4.91671	+	0.908811i	−0.567733	+	0.104940i
$76$	1.73287	−	7.43876i	0.198774	−	0.853284i
$77$	−1.57673	+	9.95505i	−0.179685	+	1.13448i
$78$	−9.37338	+	3.49400i	−1.06133	+	0.395618i
$79$	−1.99346	+	6.13522i	−0.224281	+	0.690267i	0.774083	+	0.633085i	$0.218212\pi$
$79$	−1.99346	+	6.13522i	−0.224281	+	0.690267i	−0.998364	+	0.0571820i	$0.981788\pi$
$80$	−8.07362	−	3.84925i	−0.902658	−	0.430359i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−10.2509	−	12.9133i	−1.13202	−	1.42604i
$83$	11.3745	+	5.79562i	1.24852	+	0.636152i	0.948196	−	0.317686i	$-0.102906\pi$
$83$	11.3745	+	5.79562i	1.24852	+	0.636152i	0.300322	+	0.953838i	$0.402906\pi$
$84$	5.97844	−	5.17626i	0.652301	−	0.564776i
$85$	−5.33050	+	0.914627i	−0.578174	+	0.0992052i
$86$	4.59874	−	2.59584i	0.495895	−	0.279917i
$87$	0.575255	+	3.63202i	0.0616738	+	0.389393i
$88$	−1.33494	+	7.08535i	−0.142305	+	0.755301i
$89$	−5.98909	−	8.24328i	−0.634843	−	0.873786i	0.363485	−	0.931600i	$-0.381587\pi$
$89$	−5.98909	−	8.24328i	−0.634843	−	0.873786i	−0.998327	+	0.0578143i	$0.981587\pi$
$90$	0.808881	−	3.05708i	0.0852635	−	0.322244i
$91$	16.4393	−	22.6268i	1.72331	−	2.37194i
$92$	−3.47979	+	4.13044i	−0.362793	+	0.430628i
$93$	0.410496	+	0.410496i	0.0425665	+	0.0425665i
$94$	5.67588	−	1.14893i	0.585423	−	0.118503i
$95$	6.97250	+	4.93019i	0.715363	+	0.505827i
$96$	4.38270	−	3.57658i	0.447307	−	0.365033i
$97$	0.0710037	+	0.139353i	0.00720933	+	0.0141491i	0.894583	−	0.446902i	$-0.147473\pi$
$97$	0.0710037	+	0.139353i	0.00720933	+	0.0141491i	−0.887374	+	0.461051i	$0.847473\pi$
$98$	−3.27463	+	11.7628i	−0.330788	+	1.18822i
$99$	−2.54912			−0.256197
$100$	7.38936	−	6.73776i	0.738936	−	0.673776i
$101$	3.07028			0.305504			0.152752	−	0.988265i	$-0.451186\pi$
$101$	3.07028			0.305504			0.152752	+	0.988265i	$0.451186\pi$
$102$	0.917366	−	3.29526i	0.0908328	−	0.326280i
$103$	0.381440	+	0.748617i	0.0375844	+	0.0737635i	0.909035	−	0.416720i	$-0.136820\pi$
$103$	0.381440	+	0.748617i	0.0375844	+	0.0737635i	−0.871451	+	0.490483i	$0.836820\pi$
$104$	12.2264	−	15.8363i	1.19890	−	1.55288i
$105$	2.83994	+	8.37281i	0.277150	+	0.817102i
$106$	2.31341	−	0.468288i	0.224698	−	0.0454841i
$107$	−2.64645	−	2.64645i	−0.255842	−	0.255842i	0.567518	−	0.823361i	$-0.307904\pi$
$107$	−2.64645	−	2.64645i	−0.255842	−	0.255842i	−0.823361	+	0.567518i	$0.807904\pi$
$108$	1.52954	+	1.28860i	0.147180	+	0.123996i
$109$	−0.717200	+	0.987141i	−0.0686953	+	0.0945510i	−0.841982	−	0.539505i	$-0.818611\pi$
$109$	−0.717200	+	0.987141i	−0.0686953	+	0.0945510i	0.773287	+	0.634056i	$0.218611\pi$
$110$	−6.77428	−	4.36915i	−0.645902	−	0.416582i
$111$	3.79973	+	5.22989i	0.360655	+	0.496399i
$112$	−4.68388	+	15.1064i	−0.442585	+	1.42742i
$113$	0.0898567	+	0.567333i	0.00845301	+	0.0533702i	0.991554	−	0.129692i	$-0.0413989\pi$
$113$	0.0898567	+	0.567333i	0.00845301	+	0.0533702i	−0.983101	+	0.183062i	$0.941399\pi$
$114$	−4.70327	+	2.65485i	−0.440502	+	0.248649i
$115$	−2.81026	−	5.34456i	−0.262059	−	0.498382i
$116$	−4.81406	−	5.56010i	−0.446974	−	0.516243i
$117$	6.30252	+	3.21129i	0.582668	+	0.296884i
$118$	3.61696	+	4.55638i	0.332968	+	0.419449i
$119$	2.95528	+	9.09542i	0.270910	+	0.833776i
$120$	1.85612	+	6.04606i	0.169440	+	0.551927i
$121$	1.39119	−	4.28163i	0.126471	−	0.389239i
$122$	0.436702	−	0.162784i	0.0395371	−	0.0147378i
$123$	−1.82377	+	11.5148i	−0.164444	+	1.03826i
$124$	−1.13078	−	0.263418i	−0.101547	−	0.0236556i
$125$	3.86213	+	10.4921i	0.345440	+	0.938441i
$126$	−5.55518	−	0.638496i	−0.494894	−	0.0568818i
$127$	5.16835	+	0.818586i	0.458617	+	0.0726378i	0.381468	−	0.924382i	$-0.375418\pi$
$127$	5.16835	+	0.818586i	0.458617	+	0.0726378i	0.0771483	+	0.997020i	$0.475418\pi$
$128$	−3.66405	+	10.7040i	−0.323860	+	0.946105i
$129$	−3.55133	−	1.15390i	−0.312677	−	0.101595i
$130$	11.2448	+	19.3364i	0.986235	+	1.69591i
$131$	−14.9735	+	4.86518i	−1.30824	+	0.425073i	−0.878441	−	0.477851i	$-0.841416\pi$
$131$	−14.9735	+	4.86518i	−1.30824	+	0.425073i	−0.429800	+	0.902924i	$0.641416\pi$
$132$	4.32889	−	2.69311i	0.376782	−	0.234405i
$133$	6.85528	−	13.4542i	0.594428	−	1.16663i
$134$	13.1194	−	14.2890i	1.13335	−	1.23438i
$135$	−1.97914	+	1.04067i	−0.170338	+	0.0895666i
$136$	1.92353	+	6.56516i	0.164941	+	0.562958i
$137$	14.5390	−	2.30274i	1.24215	−	0.196737i	0.499437	−	0.866350i	$-0.333540\pi$
$137$	14.5390	−	2.30274i	1.24215	−	0.196737i	0.742710	+	0.669614i	$0.233540\pi$
$138$	3.81553	−	0.162810i	0.324799	−	0.0138593i
$139$	−7.94984	+	5.77590i	−0.674297	+	0.489905i	−0.871461	−	0.490465i	$-0.836827\pi$
$139$	−7.94984	+	5.77590i	−0.674297	+	0.489905i	0.197164	+	0.980371i	$0.436827\pi$
$140$	−13.6685	−	11.2183i	−1.15520	−	0.948116i
$141$	−3.31281	−	2.40690i	−0.278989	−	0.202697i
$142$	−16.7236	−	11.0929i	−1.40341	−	0.930893i
$143$	12.7500	−	12.7500i	1.06621	−	1.06621i
$144$	−3.95884	−	0.572351i	−0.329903	−	0.0476960i
$145$	7.78693	−	2.64122i	0.646669	−	0.219341i
$146$	13.4249	+	6.13414i	1.11106	+	0.507665i
$147$	7.69280	−	3.91968i	0.634492	−	0.323290i
$148$	−11.9780	−	4.86698i	−0.984582	−	0.400063i
$149$			2.49082i			0.204056i	0.994782	+	0.102028i	$0.0325331\pi$
$149$			2.49082i			0.204056i	−0.994782	+	0.102028i	$0.967467\pi$
$150$	−7.04325	−	0.626638i	−0.575079	−	0.0511648i
$151$			10.4175i			0.847764i	0.905717	+	0.423882i	$0.139333\pi$
$151$			10.4175i			0.847764i	−0.905717	+	0.423882i	$0.860667\pi$
$152$	5.18224	−	9.47736i	0.420335	−	0.768715i
$153$	−2.15509	+	1.09807i	−0.174228	+	0.0887738i
$154$	−5.92388	+	12.9648i	−0.477360	+	1.04473i
$155$	0.749449	−	1.05990i	0.0601972	−	0.0851336i
$156$	−14.0955	+	1.20512i	−1.12855	+	0.0964870i
$157$	−12.3904	+	12.3904i	−0.988858	+	0.988858i	−0.999939	−	0.0110809i	$-0.996473\pi$
$157$	−12.3904	+	12.3904i	−0.988858	+	0.988858i	0.0110809	+	0.999939i	$0.496473\pi$
$158$	−5.04286	+	7.60258i	−0.401188	+	0.604829i
$159$	−1.35025	−	0.981018i	−0.107082	−	0.0777998i
$160$	−9.53959	−	8.30639i	−0.754171	−	0.656678i
$161$	−8.63823	+	6.27604i	−0.680788	+	0.494621i
$162$	−0.0602904	−	1.41293i	−0.00473686	−	0.111010i
$163$	−12.6739	+	2.00734i	−0.992694	+	0.157227i	−0.631594	−	0.775300i	$-0.717599\pi$
$163$	−12.6739	+	2.00734i	−0.992694	+	0.157227i	−0.361100	+	0.932527i	$0.617599\pi$
$164$	−9.06812	−	21.4811i	−0.708101	−	1.67740i
$165$	0.963942	+	5.61791i	0.0750428	+	0.437354i
$166$	13.2986	+	12.2101i	1.03217	+	0.947688i
$167$	−8.51596	+	16.7135i	−0.658985	+	1.29333i	0.283465	+	0.958982i	$0.408516\pi$
$167$	−8.51596	+	16.7135i	−0.658985	+	1.29333i	−0.942450	+	0.334347i	$0.891484\pi$
$168$	10.1083	−	4.78466i	0.779872	−	0.369145i
$169$	−35.2215	+	11.4442i	−2.70935	+	0.880321i
$170$	−7.60920	−	0.775656i	−0.583599	−	0.0594901i
$171$	3.63205	+	1.18012i	0.277750	+	0.0902464i
$172$	7.24989	−	1.79238i	0.552799	−	0.136668i
$173$	2.13756	+	0.338556i	0.162516	+	0.0257400i	0.237162	−	0.971470i	$-0.423783\pi$
$173$	2.13756	+	0.338556i	0.162516	+	0.0257400i	−0.0746463	+	0.997210i	$0.523783\pi$
$174$	−0.593818	+	5.16646i	−0.0450172	+	0.391668i
$175$	17.3786	−	9.42498i	1.31370	−	0.712461i
$176$	−4.50605	+	9.14680i	−0.339657	+	0.689466i
$177$	0.643506	−	4.06293i	0.0483688	−	0.305389i
$178$	−5.03307	−	13.5022i	−0.377244	−	1.01203i
$179$	1.93034	−	5.94097i	0.144280	−	0.444049i	−0.852637	−	0.522503i	$-0.824998\pi$
$179$	1.93034	−	5.94097i	0.144280	−	0.444049i	0.996918	+	0.0784538i	$0.0249983\pi$
$180$	2.26151	−	3.85818i	0.168563	−	0.287572i
$181$	1.89079	+	5.81925i	0.140541	+	0.432541i	0.996411	−	0.0846506i	$-0.0269774\pi$
$181$	1.89079	+	5.81925i	0.140541	+	0.432541i	−0.855870	+	0.517192i	$0.826977\pi$
$182$	30.9789	−	24.5918i	2.29631	−	1.82286i
$183$	−0.293632	−	0.149613i	−0.0217059	−	0.0110597i
$184$	−6.30748	+	4.30752i	−0.464993	+	0.317555i
$185$	10.0891	−	10.3518i	0.741765	−	0.761076i
$186$	0.403570	+	0.714955i	0.0295912	+	0.0524230i
$187$	0.964511	+	6.08968i	0.0705320	+	0.445322i
$188$	8.16862	+	0.587438i	0.595758	+	0.0428433i
$189$	2.32408	+	3.19882i	0.169052	+	0.232680i
$190$	7.62944	+	9.36144i	0.553498	+	0.679150i
$191$	−8.00175	+	11.0135i	−0.578986	+	0.796906i	−0.993584	−	0.113099i	$-0.963922\pi$
$191$	−8.00175	+	11.0135i	−0.578986	+	0.796906i	0.414597	+	0.910005i	$0.363922\pi$
$192$	7.32754	−	3.21049i	0.528819	−	0.231697i
$193$	18.2139	+	18.2139i	1.31107	+	1.31107i	0.920631	+	0.390435i	$0.127675\pi$
$193$	18.2139	+	18.2139i	1.31107	+	1.31107i	0.390435	+	0.920631i	$0.372325\pi$
$194$	0.0438822	+	0.216785i	0.00315056	+	0.0155642i
$195$	4.69397	−	15.1042i	0.336142	−	1.08164i
$196$	−8.92275	+	14.7837i	−0.637340	+	1.05598i
$197$	−1.13353	−	2.22468i	−0.0807607	−	0.158502i	0.847095	−	0.531442i	$-0.178350\pi$
$197$	−1.13353	−	2.22468i	−0.0807607	−	0.158502i	−0.927855	+	0.372940i	$0.878350\pi$
$198$	−3.47294	−	0.966829i	−0.246811	−	0.0687096i
$199$	21.9370			1.55507			0.777536	−	0.628838i	$-0.216469\pi$
$199$	21.9370			1.55507			0.777536	+	0.628838i	$0.216469\pi$
$200$	12.6228	−	6.37692i	0.892566	−	0.450916i
$201$	−13.7167			−0.967500
$202$	4.18297	+	1.16449i	0.294313	+	0.0819335i
$203$	−6.60097	−	12.9551i	−0.463297	−	0.909271i
$204$	2.49965	−	4.14154i	0.175010	−	0.289966i
$205$	26.0668	−	0.334958i	1.82058	−	0.0233945i
$206$	0.235740	+	1.16459i	0.0164248	+	0.0811410i
$207$	−1.90950	−	1.90950i	−0.132719	−	0.132719i
$208$	22.6637	−	16.9382i	1.57144	−	1.17445i
$209$	5.72210	−	7.87579i	0.395806	−	0.544780i
$210$	0.693514	+	12.4843i	0.0478570	+	0.861498i
$211$	9.80427	+	13.4944i	0.674954	+	0.928994i	0.999860	−	0.0167521i	$-0.00533261\pi$
$211$	9.80427	+	13.4944i	0.674954	+	0.928994i	−0.324906	+	0.945746i	$0.605333\pi$
$212$	3.32942	+	0.239431i	0.228665	+	0.0164442i
$213$	2.21985	+	14.0156i	0.152102	+	0.960332i
$214$	−2.60180	−	4.60929i	−0.177855	−	0.315084i
$215$	−1.20010	+	8.26297i	−0.0818464	+	0.563530i
$216$	1.59512	+	2.33572i	0.108534	+	0.158926i
$217$	−2.04521	−	1.04209i	−0.138838	−	0.0707414i
$218$	−1.35152	+	1.07287i	−0.0915364	+	0.0726637i
$219$	−3.22517	−	9.92606i	−0.217937	−	0.670741i
$220$	−7.57219	−	8.52189i	−0.510517	−	0.574546i
$221$	5.28688	−	16.2713i	0.355634	−	1.09453i
$222$	3.19319	+	8.56638i	0.214313	+	0.574938i
$223$	−0.897558	+	5.66696i	−0.0601049	+	0.379488i	0.939239	+	0.343264i	$0.111533\pi$
$223$	−0.897558	+	5.66696i	−0.0601049	+	0.379488i	−0.999344	+	0.0362232i	$0.988467\pi$
$224$	−12.1109	+	18.8045i	−0.809192	+	1.25643i
$225$	3.04190	+	3.96823i	0.202793	+	0.264549i
$226$	−0.0927563	+	0.807018i	−0.00617006	+	0.0536820i
$227$	−17.4713	−	2.76717i	−1.15961	−	0.183664i	−0.453160	−	0.891429i	$-0.649703\pi$
$227$	−17.4713	−	2.76717i	−1.15961	−	0.183664i	−0.706448	+	0.707765i	$0.749703\pi$
$228$	−7.41469	+	1.83313i	−0.491050	+	0.121402i
$229$	9.39259	+	3.05184i	0.620680	+	0.201671i	0.602442	−	0.798163i	$-0.294194\pi$
$229$	9.39259	+	3.05184i	0.620680	+	0.201671i	0.0182377	+	0.999834i	$0.494194\pi$
$230$	−1.80164	−	8.34732i	−0.118797	−	0.550406i
$231$	9.58583	−	3.11463i	0.630702	−	0.204927i
$232$	−4.44986	−	9.40098i	−0.292148	−	0.617205i
$233$	9.32023	−	18.2920i	0.610589	−	1.19835i	−0.354162	−	0.935184i	$-0.615234\pi$
$233$	9.32023	−	18.2920i	0.610589	−	1.19835i	0.964751	−	0.263164i	$-0.0847660\pi$
$234$	7.36860	+	6.76549i	0.481701	+	0.442274i
$235$	−4.05174	+	8.21113i	−0.264306	+	0.535635i
$236$	3.19963	+	7.57948i	0.208278	+	0.493382i
$237$	6.37154	−	1.00915i	0.413876	−	0.0655515i
$238$	0.576586	+	13.5125i	0.0373745	+	0.875887i
$239$	13.0395	−	9.47375i	0.843455	−	0.612806i	−0.0798784	−	0.996805i	$-0.525453\pi$
$239$	13.0395	−	9.47375i	0.843455	−	0.612806i	0.923334	+	0.383998i	$0.125453\pi$
$240$	0.235638	+	8.94117i	0.0152104	+	0.577150i
$241$	−12.6225	−	9.17075i	−0.813084	−	0.590740i	0.101639	−	0.994821i	$-0.467591\pi$
$241$	−12.6225	−	9.17075i	−0.813084	−	0.590740i	−0.914723	+	0.404082i	$0.867591\pi$
$242$	3.51929	−	5.30566i	0.226229	−	0.341061i
$243$	−0.707107	+	0.707107i	−0.0453609	+	0.0453609i
$244$	0.656705	−	0.0561461i	0.0420412	−	0.00359439i
$245$	−11.5474	−	15.4717i	−0.737739	−	0.988448i
$246$	−6.85205	+	14.9962i	−0.436871	+	0.956120i
$247$	−24.0691	+	12.2638i	−1.53148	+	0.780328i
$248$	−1.44067	−	0.787764i	−0.0914829	−	0.0500231i
$249$		−	12.7659i		−	0.809009i
$250$	1.28236	+	15.7593i	0.0811033	+	0.996706i
$251$		−	14.6513i		−	0.924785i	−0.886675	−	0.462392i	$-0.846991\pi$
$251$		−	14.6513i		−	0.924785i	0.886675	−	0.462392i	$-0.153009\pi$
$252$	−7.32623	−	2.97685i	−0.461509	−	0.187524i
$253$	−6.13347	+	3.12516i	−0.385608	+	0.196477i
$254$	6.73091	+	3.07549i	0.422335	+	0.192974i
$255$	3.23493	+	4.33428i	0.202579	+	0.271423i
$256$	−9.05171	+	13.1934i	−0.565732	+	0.824589i
$257$	−10.2264	+	10.2264i	−0.637907	+	0.637907i	−0.950039	−	0.312132i	$-0.898957\pi$
$257$	−10.2264	+	10.2264i	−0.637907	+	0.637907i	0.312132	+	0.950039i	$0.398957\pi$
$258$	−4.40070	−	2.91902i	−0.273975	−	0.181730i
$259$	−20.6788	−	15.0240i	−1.28492	−	0.933547i
$260$	7.98610	+	30.6089i	0.495277	+	1.89828i
$261$	2.97499	−	2.16146i	0.184147	−	0.133791i
$262$	−22.2452	+	0.949215i	−1.37432	+	0.0586427i
$263$	−9.63315	+	1.52574i	−0.594005	+	0.0940812i	−0.446197	−	0.894935i	$-0.647222\pi$
$263$	−9.63315	+	1.52574i	−0.594005	+	0.0940812i	−0.147808	+	0.989016i	$0.547222\pi$
$264$	6.91914	−	2.02724i	0.425844	−	0.124768i
$265$	−1.65143	+	3.34674i	−0.101447	+	0.205589i
$266$	14.4426	−	15.7301i	0.885531	−	0.964472i
$267$	−4.62582	+	9.07869i	−0.283096	+	0.555607i
$268$	23.2935	−	14.4914i	1.42288	−	0.885205i
$269$	−12.2237	+	3.97172i	−0.745291	+	0.242160i	−0.656954	−	0.753931i	$-0.728155\pi$
$269$	−12.2237	+	3.97172i	−0.745291	+	0.242160i	−0.0883374	+	0.996091i	$0.528155\pi$
$270$	−3.09110	+	0.667165i	−0.188118	+	0.0406024i
$271$	−10.5326	−	3.42225i	−0.639810	−	0.207887i	−0.0288941	−	0.999582i	$-0.509199\pi$
$271$	−10.5326	−	3.42225i	−0.639810	−	0.207887i	−0.610916	+	0.791696i	$0.709199\pi$
$272$	0.130596	+	9.67396i	0.00791855	+	0.586570i
$273$	−27.6240	−	4.37520i	−1.67188	−	0.264799i
$274$	20.6813	+	2.37705i	1.24940	+	0.143603i
$275$	12.0166	−	4.24879i	0.724628	−	0.256212i
$276$	5.26004	+	1.22534i	0.316617	+	0.0737566i
$277$	−1.06843	+	6.74581i	−0.0641958	+	0.405316i	0.934576	+	0.355764i	$0.115779\pi$
$277$	−1.06843	+	6.74581i	−0.0641958	+	0.405316i	−0.998772	+	0.0495521i	$0.984221\pi$
$278$	−13.0216	+	4.85390i	−0.780983	+	0.291118i
$279$	0.179393	−	0.552116i	0.0107400	−	0.0330543i
$280$	−14.3672	−	20.4680i	−0.858602	−	1.22320i
$281$	0.00344149	+	0.0105918i	0.000205302	+	0.000631854i	0.951159	−	0.308701i	$-0.0998943\pi$
$281$	0.00344149	+	0.0105918i	0.000205302	+	0.000631854i	−0.950954	+	0.309333i	$0.899894\pi$
$282$	−3.60050	−	4.53565i	−0.214407	−	0.270094i
$283$	−10.9743	−	5.59169i	−0.652355	−	0.332391i	0.0962991	−	0.995352i	$-0.469299\pi$
$283$	−10.9743	−	5.59169i	−0.652355	−	0.332391i	−0.748654	+	0.662961i	$0.769299\pi$
$284$	−18.5770	−	21.4559i	−1.10234	−	1.27317i
$285$	1.22738	−	8.45080i	0.0727040	−	0.500582i
$286$	22.2064	−	12.5348i	1.31309	−	0.741199i
$287$	−7.21112	−	45.5292i	−0.425659	−	2.68751i
$288$	−5.17646	−	2.28128i	−0.305026	−	0.134426i
$289$	−6.55371	−	9.02041i	−0.385513	−	0.530613i
$290$	11.6107	−	0.644986i	0.681805	−	0.0378749i
$291$	0.0919291	−	0.126529i	0.00538898	−	0.00741729i
$292$	15.9637	+	13.4490i	0.934203	+	0.787042i
$293$	−15.7344	−	15.7344i	−0.919214	−	0.919214i	0.0777579	−	0.996972i	$-0.475224\pi$
$293$	−15.7344	−	15.7344i	−0.919214	−	0.919214i	−0.996972	+	0.0777579i	$0.975224\pi$
$294$	11.9674	−	2.42247i	0.697951	−	0.141281i
$295$	−9.19748	+	0.118188i	−0.535498	+	0.00688115i
$296$	−14.4729	−	11.1738i	−0.841219	−	0.649463i
$297$	1.15728	+	2.27129i	0.0671521	+	0.131793i
$298$	−0.944716	+	3.39350i	−0.0547259	+	0.196580i
$299$	19.1015			1.10467
$300$	−9.35808	−	3.52509i	−0.540289	−	0.203521i
$301$	14.7644			0.851008
$302$	−3.95114	+	14.1929i	−0.227363	+	0.816707i
$303$	−1.39388	−	2.73564i	−0.0800762	−	0.157158i
$304$	10.6549	−	10.9465i	0.611099	−	0.627824i
$305$	−0.218690	+	0.703699i	−0.0125222	+	0.0402937i
$306$	−3.35258	+	0.678638i	−0.191654	+	0.0387952i
$307$	15.7096	+	15.7096i	0.896594	+	0.896594i	0.995133	−	0.0985392i	$-0.0314170\pi$
$307$	15.7096	+	15.7096i	0.896594	+	0.896594i	−0.0985392	+	0.995133i	$0.531417\pi$
$308$	−12.9880	+	15.4165i	−0.740060	+	0.878436i
$309$	0.493853	−	0.679730i	0.0280943	−	0.0386685i
$310$	1.42305	−	1.15977i	0.0808240	−	0.0658705i
$311$	12.7254	+	17.5151i	0.721593	+	0.993188i	0.999469	+	0.0325710i	$0.0103695\pi$
$311$	12.7254	+	17.5151i	0.721593	+	0.993188i	−0.277876	+	0.960617i	$0.589630\pi$
$312$	−19.6609	−	3.70428i	−1.11308	−	0.209714i
$313$	−4.50070	−	28.4163i	−0.254395	−	1.60618i	−0.702151	−	0.712028i	$-0.747777\pi$
$313$	−4.50070	−	28.4163i	−0.254395	−	1.60618i	0.447756	−	0.894156i	$-0.352223\pi$
$314$	−21.5801	+	12.1813i	−1.21783	+	0.687429i
$315$	6.17092	−	6.33158i	0.347692	−	0.356744i
$316$	−9.75391	+	8.44515i	−0.548701	+	0.475077i
$317$	−7.53727	−	3.84043i	−0.423335	−	0.215700i	0.229327	−	0.973350i	$-0.426348\pi$
$317$	−7.53727	−	3.84043i	−0.423335	−	0.215700i	−0.652662	+	0.757650i	$0.726348\pi$
$318$	−1.46751	−	1.84867i	−0.0822941	−	0.103668i
$319$	−2.89668	−	8.91508i	−0.162183	−	0.499149i
$320$	−9.84635	−	14.9348i	−0.550428	−	0.834883i
$321$	−1.15654	+	3.55947i	−0.0645519	+	0.198670i
$322$	−14.1491	+	5.27421i	−0.788501	+	0.293920i
$323$	1.44498	−	9.12324i	0.0804008	−	0.507631i
$324$	0.453754	−	1.94785i	0.0252086	−	0.108214i
$325$	−35.0626	−	4.63325i	−1.94492	−	0.257007i
$326$	−18.0283	−	2.07212i	−0.998494	−	0.114764i
$327$	1.20515	+	0.190877i	0.0666450	+	0.0105555i
$328$	−4.20710	−	32.7054i	−0.232298	−	1.80585i
$329$	15.3985	+	5.00327i	0.848946	+	0.275839i
$330$	−0.817478	+	8.01948i	−0.0450007	+	0.441458i
$331$	−17.8227	+	5.79095i	−0.979625	+	0.318299i	−0.754695	−	0.656076i	$-0.772215\pi$
$331$	−17.8227	+	5.79095i	−0.979625	+	0.318299i	−0.224930	+	0.974375i	$0.572215\pi$
$332$	13.4870	+	21.6790i	0.740196	+	1.18979i
$333$	2.93482	−	5.75991i	0.160827	−	0.315641i
$334$	−17.9413	+	19.5406i	−0.981702	+	1.06922i
$335$	5.18691	+	30.2297i	0.283391	+	1.65162i
$336$	15.5863	−	2.68478i	0.850303	−	0.146467i
$337$	19.4174	−	3.07541i	1.05773	−	0.167528i	0.396748	−	0.917928i	$-0.370139\pi$
$337$	19.4174	−	3.07541i	1.05773	−	0.167528i	0.660985	+	0.750399i	$0.270139\pi$
$338$	−52.3265	+	2.23280i	−2.84619	+	0.121448i
$339$	0.464703	−	0.337627i	0.0252392	−	0.0183374i
$340$	−10.0726	−	3.94277i	−0.546265	−	0.213827i
$341$	−1.19722	−	0.869829i	−0.0648329	−	0.0471039i
$342$	4.50073	+	2.98537i	0.243371	+	0.161430i
$343$	−4.56800	+	4.56800i	−0.246649	+	0.246649i
$344$	10.5571	+	0.307781i	0.569201	+	0.0165945i
$345$	−3.48620	+	4.93034i	−0.187691	+	0.265441i
$346$	2.78382	+	1.27198i	0.149659	+	0.0683823i
$347$	9.41674	−	4.79807i	0.505517	−	0.257574i	−0.182582	−	0.983191i	$-0.558445\pi$
$347$	9.41674	−	4.79807i	0.505517	−	0.257574i	0.688099	+	0.725617i	$0.258445\pi$
$348$	−2.76855	+	6.81359i	−0.148410	+	0.365247i
$349$		−	5.75770i		−	0.308202i	−0.988055	−	0.154101i	$-0.950752\pi$
$349$		−	5.75770i		−	0.308202i	0.988055	−	0.154101i	$-0.0492482\pi$
$350$	27.2514	−	6.24930i	1.45665	−	0.334039i
$351$		−	7.07348i		−	0.377554i
$352$	−9.60826	+	10.7526i	−0.512122	+	0.573115i
$353$	−9.37944	+	4.77906i	−0.499217	+	0.254364i	−0.685421	−	0.728147i	$-0.740382\pi$
$353$	−9.37944	+	4.77906i	−0.499217	+	0.254364i	0.186203	+	0.982511i	$0.440382\pi$
$354$	2.41770	−	5.29129i	0.128499	−	0.281229i
$355$	30.0490	−	10.1922i	1.59483	−	0.540945i
$356$	−1.73596	−	20.3044i	−0.0920058	−	1.07613i
$357$	6.76241	−	6.76241i	0.357905	−	0.357905i
$358$	4.88319	−	7.36188i	0.258085	−	0.389087i
$359$	15.6373	+	11.3612i	0.825307	+	0.599621i	0.918228	−	0.396053i	$-0.129620\pi$
$359$	15.6373	+	11.3612i	0.825307	+	0.599621i	−0.0929205	+	0.995674i	$0.529620\pi$
$360$	4.54442	−	4.39867i	0.239512	−	0.231830i
$361$	3.57222	−	2.59537i	0.188012	−	0.136598i
$362$	0.368900	+	8.64531i	0.0193889	+	0.454387i
$363$	−4.44654	+	0.704263i	−0.233383	+	0.0369642i
$364$	51.5330	−	21.7543i	2.70106	−	1.14024i
$365$	−20.6561	+	10.8613i	−1.08119	+	0.568508i
$366$	−0.343300	−	0.315201i	−0.0179446	−	0.0164758i
$367$	−10.7458	+	21.0899i	−0.560927	+	1.10088i	0.420184	+	0.907439i	$0.361965\pi$
$367$	−10.7458	+	21.0899i	−0.560927	+	1.10088i	−0.981112	+	0.193443i	$0.938035\pi$
$368$	−10.2271	+	3.47629i	−0.533124	+	0.181214i
$369$	11.0878	−	3.60263i	0.577206	−	0.187546i
$370$	17.6716	−	10.2767i	0.918704	−	0.534260i
$371$	6.27621	+	2.03926i	0.325844	+	0.105873i
$372$	0.278658	+	1.12712i	0.0144477	+	0.0584386i
$373$	7.97296	+	1.26279i	0.412824	+	0.0653849i	0.359392	−	0.933187i	$-0.382984\pi$
$373$	7.97296	+	1.26279i	0.412824	+	0.0653849i	0.0534319	+	0.998571i	$0.482984\pi$
$374$	−0.995635	+	8.66243i	−0.0514831	+	0.447924i
$375$	7.59515	−	8.20449i	0.392212	−	0.423678i
$376$	10.9062	+	3.89851i	0.562442	+	0.201051i
$377$	−4.06905	+	25.6910i	−0.209567	+	1.32315i
$378$	1.95309	+	5.23957i	0.100456	+	0.269494i
$379$	−9.20099	+	28.3177i	−0.472623	+	1.45458i	0.376513	+	0.926411i	$0.377123\pi$
$379$	−9.20099	+	28.3177i	−0.472623	+	1.45458i	−0.849137	+	0.528173i	$0.822877\pi$
$380$	6.84379	+	15.6478i	0.351079	+	0.802713i
$381$	−1.61702	−	4.97666i	−0.0828422	−	0.254962i
$382$	−15.0788	+	11.9699i	−0.771499	+	0.612433i
$383$	−2.39653	−	1.22109i	−0.122457	−	0.0623949i	0.391689	−	0.920098i	$-0.371891\pi$
$383$	−2.39653	−	1.22109i	−0.122457	−	0.0623949i	−0.514146	+	0.857703i	$0.671891\pi$
$384$	11.2007	−	1.59480i	0.571585	−	0.0813843i
$385$	−10.4891	−	19.9481i	−0.534572	−	1.01665i
$386$	17.9066	+	31.7229i	0.911420	+	1.61465i
$387$	0.584140	+	3.68811i	0.0296935	+	0.187477i
$388$	−0.0224366	+	0.311992i	−0.00113905	+	0.0158390i
$389$	4.98595	+	6.86258i	0.252798	+	0.347946i	0.916489	−	0.400061i	$-0.131011\pi$
$389$	4.98595	+	6.86258i	0.252798	+	0.347946i	−0.663691	+	0.748007i	$0.731011\pi$
$390$	12.1238	−	18.7977i	0.613913	−	0.951860i
$391$	−3.83917	+	5.28416i	−0.194155	+	0.267231i
$392$	−17.7635	+	16.7571i	−0.897194	+	0.846363i
$393$	11.1327	+	11.1327i	0.561572	+	0.561572i
$394$	−0.700553	−	3.46084i	−0.0352934	−	0.174355i
$395$	−4.63341	−	13.6604i	−0.233132	−	0.687328i
$396$	−4.36485	−	2.63443i	−0.219342	−	0.132385i
$397$	−17.0199	−	33.4034i	−0.854204	−	1.67647i	−0.729187	−	0.684314i	$-0.760102\pi$
$397$	−17.0199	−	33.4034i	−0.854204	−	1.67647i	−0.125016	−	0.992155i	$-0.539898\pi$
$398$	29.8871	+	8.32025i	1.49810	+	0.417056i
$399$	−15.1000			−0.755948
$400$	19.6160	−	3.90039i	0.980799	−	0.195019i
$401$	30.7008			1.53313			0.766563	−	0.642169i	$-0.221965\pi$
$401$	30.7008			1.53313			0.766563	+	0.642169i	$0.221965\pi$
$402$	−18.6877	−	5.20245i	−0.932056	−	0.259475i
$403$	1.86425	+	3.65880i	0.0928649	+	0.182258i
$404$	5.25723	+	3.17302i	0.261557	+	0.157864i
$405$	1.82576	+	1.29098i	0.0907225	+	0.0641491i
$406$	−4.07958	−	20.1537i	−0.202466	−	1.00021i
$407$	−11.6523	−	11.6523i	−0.577581	−	0.577581i
$408$	4.97633	−	4.69439i	0.246365	−	0.232407i
$409$	−8.88171	+	12.2246i	−0.439172	+	0.604469i	−0.970028	−	0.242993i	$-0.921871\pi$
$409$	−8.88171	+	12.2246i	−0.439172	+	0.604469i	0.530856	+	0.847462i	$0.321871\pi$
$410$	35.6405	+	9.43023i	1.76016	+	0.465726i
$411$	−8.65231	−	11.9089i	−0.426787	−	0.587422i
$412$	−0.120532	+	1.67606i	−0.00593818	+	0.0825734i
$413$	2.54440	+	16.0647i	0.125202	+	0.790492i
$414$	−1.87728	−	3.32574i	−0.0922632	−	0.163451i
$415$	−28.1344	+	4.82740i	−1.38106	+	0.236968i
$416$	37.3014	−	14.4808i	1.82885	−	0.709982i
$417$	8.75552	+	4.46116i	0.428759	+	0.218464i
$418$	10.7829	−	8.55974i	0.527411	−	0.418671i
$419$	0.900314	+	2.77088i	0.0439832	+	0.135366i	0.970637	−	0.240550i	$-0.0773279\pi$
$419$	0.900314	+	2.77088i	0.0439832	+	0.135366i	−0.926653	+	0.375917i	$0.877328\pi$
$420$	−3.79018	+	17.2717i	−0.184942	+	0.842772i
$421$	0.391092	−	1.20366i	0.0190607	−	0.0586627i	−0.941074	−	0.338201i	$-0.890182\pi$
$421$	0.391092	−	1.20366i	0.0190607	−	0.0586627i	0.960134	+	0.279539i	$0.0901815\pi$
$422$	8.23923	+	22.1034i	0.401080	+	1.07598i
$423$	−0.640577	+	4.04444i	−0.0311459	+	0.196648i
$424$	4.44520	+	1.58898i	0.215878	+	0.0771677i
$425$	8.32887	−	8.76834i	0.404010	−	0.425327i
$426$	−2.29148	+	19.9369i	−0.111023	+	0.965944i
$427$	1.28699	+	0.203839i	0.0622817	+	0.00986445i
$428$	−1.79649	−	7.26652i	−0.0868368	−	0.351241i
$429$	−17.1487	−	5.57194i	−0.827945	−	0.269016i
$430$	−4.76900	+	10.8023i	−0.229982	+	0.520935i
$431$	−15.0413	+	4.88722i	−0.724514	+	0.235409i	−0.647979	−	0.761658i	$-0.724386\pi$
$431$	−15.0413	+	4.88722i	−0.724514	+	0.235409i	−0.0765350	+	0.997067i	$0.524386\pi$
$432$	1.28731	+	3.78719i	0.0619356	+	0.182211i
$433$	−3.11486	+	6.11326i	−0.149691	+	0.293785i	−0.953660	−	0.300886i	$-0.902718\pi$
$433$	−3.11486	+	6.11326i	−0.149691	+	0.293785i	0.803969	+	0.594671i	$0.202718\pi$
$434$	−2.39116	−	2.19545i	−0.114779	−	0.105385i
$435$	−5.88853	−	5.73912i	−0.282334	−	0.275170i
$436$	−2.24823	+	0.949076i	−0.107671	+	0.0454525i
$437$	10.1859	−	1.61329i	0.487258	−	0.0771741i
$438$	−0.629243	−	14.7466i	−0.0300664	−	0.704618i
$439$	23.5773	−	17.1299i	1.12528	−	0.817564i	0.140280	−	0.990112i	$-0.455200\pi$
$439$	23.5773	−	17.1299i	1.12528	−	0.817564i	0.985001	+	0.172548i	$0.0551999\pi$
$440$	−7.08421	−	14.4822i	−0.337726	−	0.690414i
$441$	−6.98492	−	5.07484i	−0.332615	−	0.241659i
$442$	13.3742	−	20.1629i	0.636148	−	0.959053i
$443$	11.6074	−	11.6074i	0.551483	−	0.551483i	−0.375386	−	0.926869i	$-0.622490\pi$
$443$	11.6074	−	11.6074i	0.551483	−	0.551483i	0.926869	+	0.375386i	$0.122490\pi$
$444$	1.10137	+	12.8820i	0.0522686	+	0.611352i
$445$	21.7574	+	6.76160i	1.03140	+	0.320531i
$446$	−3.37220	+	7.38027i	−0.159678	+	0.349466i
$447$	2.21934	−	1.13081i	0.104971	−	0.0534854i
$448$	−23.6321	+	21.0259i	−1.11651	+	0.993383i
$449$			8.42076i			0.397400i	0.980060	+	0.198700i	$0.0636719\pi$
$449$			8.42076i			0.397400i	−0.980060	+	0.198700i	$0.936328\pi$
$450$	2.63923	+	6.56007i	0.124414	+	0.309245i
$451$		−	29.7186i		−	1.39940i
$452$	−0.432457	+	1.06430i	−0.0203411	+	0.0500607i
$453$	9.28206	−	4.72945i	0.436109	−	0.222209i
$454$	−22.7534	−	10.3965i	−1.06787	−	0.487932i
$455$	0.803559	+	62.5338i	0.0376714	+	2.93163i
$456$	−10.7971	−	0.314778i	−0.505619	−	0.0147408i
$457$	−18.8041	+	18.8041i	−0.879620	+	0.879620i	−0.993495	−	0.113875i	$-0.963674\pi$
$457$	−18.8041	+	18.8041i	−0.879620	+	0.879620i	0.113875	+	0.993495i	$0.463674\pi$
$458$	11.6390	+	7.72025i	0.543855	+	0.360744i
$459$	1.95678	+	1.42168i	0.0913345	+	0.0663584i
$460$	0.711403	−	12.0558i	0.0331694	−	0.562103i
$461$	−15.8560	+	11.5200i	−0.738486	+	0.536541i	−0.892237	−	0.451568i	$-0.850865\pi$
$461$	−15.8560	+	11.5200i	−0.738486	+	0.536541i	0.153751	+	0.988110i	$0.450865\pi$
$462$	14.2411	−	0.607675i	0.662556	−	0.0282716i
$463$	13.2409	−	2.09715i	0.615355	−	0.0974627i	0.159027	−	0.987274i	$-0.449164\pi$
$463$	13.2409	−	2.09715i	0.615355	−	0.0974627i	0.456328	+	0.889811i	$0.349164\pi$
$464$	−2.49692	−	14.4957i	−0.115917	−	0.672945i
$465$	−1.28462	−	0.186577i	−0.0595731	−	0.00865232i
$466$	19.6357	−	21.3861i	0.909606	−	0.990693i
$467$	11.7235	−	23.0087i	0.542500	−	1.06472i	−0.443234	−	0.896406i	$-0.646169\pi$
$467$	11.7235	−	23.0087i	0.542500	−	1.06472i	0.985734	−	0.168310i	$-0.0538309\pi$
$468$	7.47301	+	12.0121i	0.345440	+	0.555260i
$469$	51.5808	−	16.7596i	2.38178	−	0.773887i
$470$	−8.63442	+	9.65015i	−0.398276	+	0.445128i
$471$	16.6650	+	5.41478i	0.767882	+	0.249500i
$472$	1.48445	+	11.5399i	0.0683273	+	0.531166i
$473$	9.40145	+	1.48904i	0.432279	+	0.0684663i
$474$	9.06336	+	1.04172i	0.416294	+	0.0478476i
$475$	−19.0885	+	0.490656i	−0.875841	+	0.0225128i
$476$	−4.33947	+	18.6282i	−0.198899	+	0.853823i
$477$	−0.261090	+	1.64846i	−0.0119545	+	0.0754777i
$478$	21.3583	−	7.96148i	0.976905	−	0.364149i
$479$	3.90483	−	12.0178i	0.178416	−	0.549109i	−0.821357	−	0.570415i	$-0.806782\pi$
$479$	3.90483	−	12.0178i	0.178416	−	0.549109i	0.999773	+	0.0213058i	$0.00678235\pi$
$480$	−3.07016	+	12.2709i	−0.140133	+	0.560086i
$481$	14.1303	+	43.4885i	0.644284	+	1.98290i
$482$	−13.7186	−	17.2817i	−0.624866	−	0.787160i
$483$	9.51367	+	4.84746i	0.432887	+	0.220567i
$484$	6.80703	−	5.89367i	0.309410	−	0.267894i
$485$	−0.313616	−	0.154752i	−0.0142406	−	0.00702694i
$486$	−1.23156	+	0.695175i	−0.0558645	+	0.0315338i
$487$	2.88969	+	18.2448i	0.130944	+	0.826749i	0.962495	+	0.271300i	$0.0874535\pi$
$487$	2.88969	+	18.2448i	0.130944	+	0.826749i	−0.831551	+	0.555449i	$0.812546\pi$
$488$	0.915993	+	0.172581i	0.0414651	+	0.00781237i
$489$	7.54237	+	10.3812i	0.341078	+	0.469453i
$490$	−9.86421	−	25.4584i	−0.445619	−	1.15009i
$491$	−4.86411	+	6.69487i	−0.219514	+	0.302135i	−0.904544	−	0.426379i	$-0.859789\pi$
$491$	−4.86411	+	6.69487i	−0.219514	+	0.302135i	0.685030	+	0.728514i	$0.259789\pi$
$492$	−15.0230	+	17.8320i	−0.677289	+	0.803928i
$493$	−6.28922	−	6.28922i	−0.283252	−	0.283252i
$494$	−37.4433	+	7.57938i	−1.68465	+	0.341012i
$495$	4.56798	−	3.40936i	0.205315	−	0.153239i
$496$	−1.66400	−	1.61967i	−0.0747158	−	0.0727254i
$497$	−25.4725	−	49.9925i	−1.14260	−	2.24247i
$498$	4.84186	−	17.3924i	0.216969	−	0.779372i
$499$	−16.7607			−0.750313			−0.375156	−	0.926961i	$-0.622411\pi$
$499$	−16.7607			−0.750313			−0.375156	+	0.926961i	$0.622411\pi$
$500$	−4.23009	+	21.9569i	−0.189175	+	0.981943i
$501$	18.7580			0.838046
$502$	5.55695	−	19.9611i	0.248019	−	0.890906i
$503$	−12.3579	−	24.2537i	−0.551011	−	1.08142i	−0.983690	−	0.179872i	$-0.942432\pi$
$503$	−12.3579	−	24.2537i	−0.551011	−	1.08142i	0.432679	−	0.901548i	$-0.357568\pi$
$504$	−8.85224	−	6.83437i	−0.394310	−	0.304427i
$505$	−5.50188	+	4.10639i	−0.244831	+	0.182732i
$506$	−9.54158	+	1.93143i	−0.424175	+	0.0858627i
$507$	26.1871	+	26.1871i	1.16301	+	1.16301i
$508$	8.00376	+	6.74296i	0.355109	+	0.299171i
$509$	3.13197	−	4.31078i	0.138822	−	0.191072i	−0.733945	−	0.679209i	$-0.762323\pi$
$509$	3.13197	−	4.31078i	0.138822	−	0.191072i	0.872767	+	0.488136i	$0.162323\pi$
$510$	2.76339	+	7.13199i	0.122365	+	0.315810i
$511$	24.2562	+	33.3857i	1.07303	+	1.47690i
$512$	−17.3361	+	14.5417i	−0.766154	+	0.642657i
$513$	−0.597418	−	3.77195i	−0.0263766	−	0.166536i
$514$	−17.8112	+	10.0539i	−0.785619	+	0.443457i
$515$	−1.68478	−	0.831346i	−0.0742403	−	0.0366335i
$516$	−4.88841	−	5.64598i	−0.215200	−	0.248550i
$517$	9.30059	+	4.73889i	0.409039	+	0.208416i
$518$	−22.4746	−	28.3118i	−0.987476	−	1.24395i
$519$	−0.668777	−	2.05828i	−0.0293560	−	0.0903486i
$520$	−0.729014	+	44.7307i	−0.0319694	+	1.96157i
$521$	3.98413	−	12.2619i	0.174548	−	0.537204i	−0.825065	−	0.565039i	$-0.808861\pi$
$521$	3.98413	−	12.2619i	0.174548	−	0.537204i	0.999613	+	0.0278350i	$0.00886130\pi$
$522$	4.87294	−	1.81643i	0.213283	−	0.0795029i
$523$	−1.96110	+	12.3819i	−0.0857527	+	0.541422i	0.906989	+	0.421155i	$0.138375\pi$
$523$	−1.96110	+	12.3819i	−0.0857527	+	0.541422i	−0.992742	+	0.120267i	$0.961625\pi$
$524$	−30.6670	−	7.14394i	−1.33970	−	0.312084i
$525$	−16.2874	−	11.2056i	−0.710842	−	0.489052i
$526$	−13.7029	−	1.57498i	−0.597476	−	0.0686722i
$527$	−1.38684	−	0.219655i	−0.0604119	−	0.00956831i
$528$	10.1956	−	0.137638i	0.443705	−	0.00598991i
$529$	14.9388	+	4.85392i	0.649515	+	0.211040i
$530$	−3.51927	+	3.93327i	−0.152867	+	0.170850i
$531$	−3.91225	+	1.27117i	−0.169777	+	0.0551639i
$532$	25.6427	−	15.9529i	1.11175	−	0.691648i
$533$	−37.4384	+	73.4771i	−1.62164	+	3.18265i
$534$	−9.74561	+	10.6144i	−0.421734	+	0.459329i
$535$	8.28193	+	1.20286i	0.358059	+	0.0520041i
$536$	37.2315	−	10.9085i	1.60815	−	0.471174i
$537$	−6.16980	+	0.977201i	−0.266247	+	0.0421693i
$538$	−18.1600	+	0.774896i	−0.782933	+	0.0334082i
$539$	−17.8054	+	12.9364i	−0.766934	+	0.557210i
$540$	−4.46437	−	0.263440i	−0.192116	−	0.0113366i
$541$	9.04613	+	6.57240i	0.388923	+	0.282569i	0.765014	−	0.644013i	$-0.222732\pi$
$541$	9.04613	+	6.57240i	0.388923	+	0.282569i	−0.376091	+	0.926583i	$0.622732\pi$
$542$	−13.0517	−	8.65728i	−0.560617	−	0.371862i
$543$	4.32659	−	4.32659i	0.185672	−	0.185672i
$544$	−3.49121	+	13.2294i	−0.149684	+	0.567205i
$545$	−0.0350569	−	2.72817i	−0.00150167	−	0.116862i
$546$	−35.9756	−	16.4380i	−1.53961	−	0.703481i
$547$	20.6656	−	10.5297i	0.883598	−	0.450215i	0.0475478	−	0.998869i	$-0.484859\pi$
$547$	20.6656	−	10.5297i	0.883598	−	0.450215i	0.836050	+	0.548654i	$0.184859\pi$
$548$	27.2748	+	11.0825i	1.16512	+	0.473421i
$549$			0.329550i			0.0140649i
$550$	17.9829	−	1.23093i	0.766795	−	0.0524870i
$551$			14.0434i			0.598271i
$552$	6.70156	+	3.66443i	0.285237	+	0.155968i
$553$	−22.7268	+	11.5799i	−0.966441	+	0.492426i
$554$	−4.01418	+	8.78529i	−0.170546	+	0.373251i
$555$	−13.8038	−	4.28985i	−0.585940	−	0.182094i
$556$	−19.5817	+	1.67417i	−0.830447	+	0.0710005i
$557$	−2.16187	+	2.16187i	−0.0916013	+	0.0916013i	−0.751423	−	0.659821i	$-0.770632\pi$
$557$	−2.16187	+	2.16187i	−0.0916013	+	0.0916013i	0.659821	+	0.751423i	$0.270632\pi$
$558$	0.453813	−	0.684166i	0.0192114	−	0.0289631i
$559$	−21.3685	−	15.5252i	−0.903793	−	0.656644i
$560$	−11.8108	−	33.3348i	−0.499097	−	1.40865i
$561$	4.98807	−	3.62404i	0.210596	−	0.153007i
$562$	0.000671446		0.0157356i	2.83233e−5		0.000663767i
$563$	27.1156	−	4.29469i	1.14279	−	0.181000i	0.443794	−	0.896129i	$-0.353632\pi$
$563$	27.1156	−	4.29469i	1.14279	−	0.181000i	0.698992	+	0.715129i	$0.253632\pi$
$564$	−3.18506	−	7.54498i	−0.134115	−	0.317701i
$565$	−0.919808	−	0.896469i	−0.0386966	−	0.0377147i
$566$	−12.8306	−	11.7805i	−0.539312	−	0.495170i
$567$	1.79506	−	3.52301i	0.0753855	−	0.147952i
$568$	−17.1716	−	36.2774i	−0.720503	−	1.52217i
$569$	24.5001	−	7.96058i	1.02710	−	0.333725i	0.253456	−	0.967347i	$-0.418433\pi$
$569$	24.5001	−	7.96058i	1.02710	−	0.333725i	0.773643	+	0.633622i	$0.218433\pi$
$570$	4.87741	−	11.0479i	0.204292	−	0.462745i
$571$	28.6239	+	9.30048i	1.19787	+	0.389213i	0.838978	−	0.544165i	$-0.183153\pi$
$571$	28.6239	+	9.30048i	1.19787	+	0.389213i	0.358896	+	0.933378i	$0.383153\pi$
$572$	35.0083	−	8.65507i	1.46377	−	0.361887i
$573$	13.4458	+	2.12960i	0.561706	+	0.0889655i
$574$	7.44382	−	64.7643i	0.310699	−	2.70321i
$575$	12.1841	+	5.81871i	0.508111	+	0.242657i
$576$	−6.18720	−	5.07135i	−0.257800	−	0.211306i
$577$	1.59881	−	10.0945i	0.0665595	−	0.420240i	−0.931799	−	0.362974i	$-0.881761\pi$
$577$	1.59881	−	10.0945i	0.0665595	−	0.420240i	0.998359	−	0.0572666i	$-0.0182385\pi$
$578$	−5.50756	−	14.7751i	−0.229084	−	0.614565i
$579$	7.95977	−	24.4976i	0.330797	−	1.01809i
$580$	16.0631	+	3.52497i	0.666985	+	0.146366i
$581$	15.5980	+	48.0056i	0.647113	+	1.99161i
$582$	0.173235	−	0.137518i	0.00718080	−	0.00570029i
$583$	3.79079	+	1.93150i	0.156999	+	0.0799948i
$584$	16.6481	+	24.3776i	0.688902	+	1.00875i
$585$	−15.5890	+	2.67481i	−0.644525	+	0.110590i
$586$	−15.4689	−	27.4044i	−0.639015	−	1.13206i
$587$	2.39240	+	15.1050i	0.0987450	+	0.623451i	0.986579	+	0.163287i	$0.0522096\pi$
$587$	2.39240	+	15.1050i	0.0987450	+	0.623451i	−0.887834	+	0.460165i	$0.847790\pi$
$588$	17.2232	+	1.23859i	0.710272	+	0.0510785i
$589$	1.30313	+	1.79361i	0.0536946	+	0.0739043i
$590$	−12.5755	−	3.32739i	−0.517726	−	0.136987i
$591$	−1.46759	+	2.01997i	−0.0603687	+	0.0830903i
$592$	−15.4799	−	20.7125i	−0.636222	−	0.851278i
$593$	−18.0178	−	18.0178i	−0.739902	−	0.739902i	0.232657	−	0.972559i	$-0.425258\pi$
$593$	−18.0178	−	18.0178i	−0.739902	−	0.739902i	−0.972559	+	0.232657i	$0.925258\pi$
$594$	0.715230	+	3.53334i	0.0293462	+	0.144975i
$595$	−17.4606	−	12.3462i	−0.715815	−	0.506146i
$596$	−2.57417	+	4.26502i	−0.105442	+	0.174702i
$597$	−9.95919	−	19.5460i	−0.407602	−	0.799965i
$598$	26.0240	+	7.24480i	1.06420	+	0.296262i
$599$	3.42579			0.139974			0.0699870	−	0.997548i	$-0.477704\pi$
$599$	3.42579			0.139974			0.0699870	+	0.997548i	$0.477704\pi$
$600$	−11.4125	−	8.35193i	−0.465914	−	0.340966i
$601$	−3.52544			−0.143806			−0.0719028	−	0.997412i	$-0.522907\pi$
$601$	−3.52544			−0.143806			−0.0719028	+	0.997412i	$0.522907\pi$
$602$	20.1151	+	5.59984i	0.819832	+	0.228233i
$603$	6.22724	+	12.2216i	0.253593	+	0.497704i
$604$	−10.7661	+	17.8378i	−0.438067	+	0.725811i
$605$	3.23354	+	9.53325i	0.131462	+	0.387582i
$606$	−0.861456	−	4.25572i	−0.0349942	−	0.172877i
$607$	−26.8521	−	26.8521i	−1.08989	−	1.08989i	−0.995538	−	0.0943563i	$-0.969921\pi$
$607$	−26.8521	−	26.8521i	−1.08989	−	1.08989i	−0.0943563	−	0.995538i	$-0.530079\pi$
$608$	18.6680	−	10.8724i	0.757088	−	0.440933i
$609$	−8.54632	+	11.7630i	−0.346315	+	0.476661i
$610$	−0.564843	+	0.875778i	−0.0228698	+	0.0354592i
$611$	−17.0251	−	23.4331i	−0.688763	−	0.948001i
$612$	−4.82496	−	0.346982i	−0.195037	−	0.0140259i
$613$	5.02532	+	31.7286i	0.202971	+	1.28151i	0.853126	+	0.521705i	$0.174704\pi$
$613$	5.02532	+	31.7286i	0.202971	+	1.28151i	−0.650156	+	0.759801i	$0.725296\pi$
$614$	15.4445	+	27.3612i	0.623290	+	1.10421i
$615$	−12.1325	−	23.0736i	−0.489230	−	0.930417i
$616$	−23.5421	+	16.0774i	−0.948537	+	0.647778i
$617$	31.0316	+	15.8114i	1.24929	+	0.636543i	0.948388	−	0.317113i	$-0.102714\pi$
$617$	31.0316	+	15.8114i	1.24929	+	0.636543i	0.300898	+	0.953656i	$0.402714\pi$
$618$	0.930635	−	0.738760i	0.0374356	−	0.0297173i
$619$	−0.688183	−	2.11801i	−0.0276604	−	0.0851300i	0.936273	−	0.351272i	$-0.114251\pi$
$619$	−0.688183	−	2.11801i	−0.0276604	−	0.0851300i	−0.963934	+	0.266142i	$0.914251\pi$
$620$	2.37865	−	1.04034i	0.0955289	−	0.0417811i
$621$	−0.834482	+	2.56827i	−0.0334866	+	0.103061i
$622$	10.6941	+	28.6891i	0.428794	+	1.15033i
$623$	6.30242	−	39.7919i	0.252501	−	1.59423i
$624$	−25.3812	−	12.5037i	−1.01606	−	0.500549i
$625$	−20.9536	−	13.6362i	−0.838146	−	0.545446i
$626$	4.64593	−	40.4215i	0.185689	−	1.61557i
$627$	−9.61516	−	1.52289i	−0.383992	−	0.0608184i
$628$	−34.0209	+	8.41095i	−1.35758	+	0.335634i
$629$	−14.8705	−	4.83171i	−0.592924	−	0.192653i
$630$	10.8087	−	6.28567i	0.430630	−	0.250427i
$631$	−15.8140	+	5.13827i	−0.629544	+	0.204551i	−0.606373	−	0.795180i	$-0.707376\pi$
$631$	−15.8140	+	5.13827i	−0.629544	+	0.204551i	−0.0231711	+	0.999732i	$0.507376\pi$
$632$	−16.4919	+	7.80626i	−0.656011	+	0.310516i
$633$	7.57257	−	14.8620i	0.300983	−	0.590712i
$634$	−8.81221	−	8.09095i	−0.349978	−	0.321333i
$635$	−10.3564	+	5.44559i	−0.410981	+	0.216102i
$636$	−1.29819	−	3.07523i	−0.0514765	−	0.121941i
$637$	60.3194	−	9.55365i	2.38994	−	0.378529i
$638$	−0.565154	−	13.2446i	−0.0223747	−	0.524359i
$639$	11.4802	−	8.34085i	0.454149	−	0.329959i
$640$	−7.75024	−	24.0818i	−0.306355	−	0.951917i
$641$	−4.89596	−	3.55712i	−0.193379	−	0.140498i	0.486883	−	0.873467i	$-0.338134\pi$
$641$	−4.89596	−	3.55712i	−0.193379	−	0.140498i	−0.680262	+	0.732969i	$0.738134\pi$
$642$	−2.92571	+	4.41079i	−0.115469	+	0.174080i
$643$	−31.1018	+	31.1018i	−1.22653	+	1.22653i	−0.261268	+	0.965266i	$0.584141\pi$
$643$	−31.1018	+	31.1018i	−1.22653	+	1.22653i	−0.965266	+	0.261268i	$0.915859\pi$
$644$	−21.2773	+	1.81914i	−0.838441	+	0.0716840i
$645$	7.90720	−	2.68201i	0.311346	−	0.105604i
$646$	5.42890	−	11.8815i	0.213597	−	0.467471i
$647$	−23.4946	+	11.9711i	−0.923669	+	0.470633i	−0.850079	−	0.526656i	$-0.823446\pi$
$647$	−23.4946	+	11.9711i	−0.923669	+	0.470633i	−0.0735903	+	0.997289i	$0.523446\pi$
$648$	1.35697	−	2.48166i	0.0533070	−	0.0974887i
$649$			10.4860i			0.411612i
$650$	−46.0122	−	19.6109i	−1.80475	−	0.769202i
$651$			2.29539i			0.0899635i
$652$	−23.7759	−	9.66082i	−0.931137	−	0.378347i
$653$	27.6128	−	14.0694i	1.08057	−	0.550578i	0.179282	−	0.983798i	$-0.442623\pi$
$653$	27.6128	−	14.0694i	1.08057	−	0.550578i	0.901288	+	0.433220i	$0.142623\pi$
$654$	1.56951	+	0.717141i	0.0613726	+	0.0280424i
$655$	20.3252	−	28.7448i	0.794171	−	1.12315i
$656$	6.67268	−	46.1536i	0.260525	−	1.80200i
$657$	−7.37999	+	7.37999i	−0.287921	+	0.287921i
$658$	19.0813	+	12.6568i	0.743868	+	0.493413i
$659$	−6.83117	−	4.96313i	−0.266105	−	0.193336i	0.446729	−	0.894669i	$-0.352589\pi$
$659$	−6.83117	−	4.96313i	−0.266105	−	0.193336i	−0.712834	+	0.701333i	$0.752589\pi$
$660$	−4.15536	+	10.6157i	−0.161747	+	0.413217i
$661$	−12.2248	+	8.88180i	−0.475488	+	0.345462i	−0.799576	−	0.600565i	$-0.794942\pi$
$661$	−12.2248	+	8.88180i	−0.475488	+	0.345462i	0.324088	+	0.946027i	$0.394942\pi$
$662$	−26.4781	+	1.12984i	−1.02910	+	0.0439123i
$663$	−16.8981	+	2.67639i	−0.656266	+	0.103942i
$664$	10.1524	+	34.6509i	0.393989	+	1.34472i
$665$	5.71003	+	33.2784i	0.221426	+	1.29048i
$666$	6.18303	−	6.73421i	0.239587	−	0.260945i
$667$	4.50826	−	8.84796i	0.174561	−	0.342595i
$668$	−31.8546	+	19.8175i	−1.23249	+	0.766763i
$669$	5.45678	−	1.77302i	0.210971	−	0.0685487i
$670$	−4.39880	+	43.1523i	−0.169940	+	1.66712i
$671$	0.798949	+	0.259594i	0.0308431	+	0.0100215i
$672$	22.2532	+	2.25381i	0.858434	+	0.0869424i
$673$	−16.3656	−	2.59206i	−0.630848	−	0.0999166i	−0.167181	−	0.985926i	$-0.553467\pi$
$673$	−16.3656	−	2.59206i	−0.630848	−	0.0999166i	−0.463667	+	0.886010i	$0.653467\pi$
$674$	27.6208	+	3.17466i	1.06391	+	0.122283i
$675$	2.15473	−	4.51189i	0.0829355	−	0.173663i
$676$	−72.1368	−	16.8044i	−2.77449	−	0.646323i
$677$	2.48124	−	15.6659i	0.0953618	−	0.602091i	−0.893010	−	0.450036i	$-0.851411\pi$
$677$	2.48124	−	15.6659i	0.0953618	−	0.602091i	0.988372	−	0.152055i	$-0.0485890\pi$
$678$	0.761169	−	0.283732i	0.0292325	−	0.0108967i
$679$	−0.191095	+	0.588130i	−0.00733355	+	0.0225703i
$680$	−12.2276	−	9.19198i	−0.468906	−	0.352496i
$681$	5.46621	+	16.8233i	0.209466	+	0.644669i
$682$	−1.30119	−	1.63914i	−0.0498250	−	0.0627659i
$683$	4.42524	+	2.25477i	0.169327	+	0.0862764i	0.536600	−	0.843837i	$-0.319708\pi$
$683$	4.42524	+	2.25477i	0.169327	+	0.0862764i	−0.367273	+	0.930113i	$0.619708\pi$
$684$	4.99953	+	5.77431i	0.191162	+	0.220786i
$685$	−22.9737	+	23.5718i	−0.877779	+	0.900632i
$686$	−7.95601	+	4.49091i	−0.303762	+	0.171464i
$687$	−1.54494	−	9.75436i	−0.0589431	−	0.372152i
$688$	14.2663	+	4.42341i	0.543898	+	0.168641i
$689$	−6.93921	−	9.55100i	−0.264363	−	0.363864i
$690$	−6.61959	+	5.39488i	−0.252004	+	0.205380i
$691$	23.6039	−	32.4880i	0.897935	−	1.23590i	−0.0731873	−	0.997318i	$-0.523317\pi$
$691$	23.6039	−	32.4880i	0.897935	−	1.23590i	0.971122	−	0.238583i	$-0.0766829\pi$
$692$	3.31025	+	2.78880i	0.125837	+	0.106014i
$693$	−7.12703	−	7.12703i	−0.270734	−	0.270734i
$694$	14.6492	−	2.96534i	0.556077	−	0.112563i
$695$	6.52091	−	20.9829i	0.247352	−	0.795927i
$696$	−6.35614	+	8.23281i	−0.240929	+	0.312064i
$697$	−12.8017	−	25.1248i	−0.484900	−	0.951669i
$698$	2.18377	−	7.84432i	0.0826571	−	0.296912i
$699$	−20.5296			−0.776500
$700$	39.4977	+	1.82181i	1.49287	+	0.0688578i
$701$	−39.2492			−1.48242			−0.741211	−	0.671273i	$-0.765748\pi$
$701$	−39.2492			−1.48242			−0.741211	+	0.671273i	$0.765748\pi$
$702$	2.68282	−	9.63694i	0.101257	−	0.363723i
$703$	11.2080	+	21.9969i	0.422717	+	0.829628i
$704$	−17.1686	+	11.0052i	−0.647065	+	0.414773i
$705$	9.15562	−	0.117650i	0.344821	−	0.00443094i
$706$	−14.5912	+	2.95359i	−0.549147	+	0.111160i
$707$	8.58412	+	8.58412i	0.322839	+	0.322839i
$708$	5.30077	−	6.29190i	0.199215	−	0.236464i
$709$	−1.21142	+	1.66738i	−0.0454959	+	0.0626198i	−0.831159	−	0.556035i	$-0.812322\pi$
$709$	−1.21142	+	1.66738i	−0.0454959	+	0.0626198i	0.785663	+	0.618655i	$0.212322\pi$
$710$	44.8046	−	2.48894i	1.68149	−	0.0934082i
$711$	−3.79178	−	5.21893i	−0.142203	−	0.195725i
$712$	5.33597	−	28.3213i	0.199974	−	1.06138i
$713$	−0.245240	−	1.54838i	−0.00918431	−	0.0579874i
$714$	11.7780	−	6.64830i	0.440780	−	0.248806i
$715$	−5.79507	+	39.9003i	−0.216723	+	1.49219i
$716$	9.44509	−	8.17776i	0.352980	−	0.305617i
$717$	−14.3610	−	7.31729i	−0.536321	−	0.273269i
$718$	16.9953	+	21.4095i	0.634260	+	0.798994i
$719$	−0.0582862	−	0.179386i	−0.00217371	−	0.00668999i	0.949964	−	0.312360i	$-0.101120\pi$
$719$	−0.0582862	−	0.179386i	−0.00217371	−	0.00668999i	−0.952137	+	0.305670i	$0.901120\pi$
$720$	7.85966	−	4.26916i	0.292912	−	0.159102i
$721$	−1.02658	+	3.15950i	−0.0382320	+	0.117666i
$722$	5.85118	−	2.18108i	0.217759	−	0.0811713i
$723$	−2.44072	+	15.4101i	−0.0907715	+	0.573108i
$724$	−2.77639	+	11.9183i	−0.103184	+	0.442941i
$725$	−10.4215	+	15.1477i	−0.387045	+	0.562573i
$726$	−6.32510	−	0.726989i	−0.234747	−	0.0269811i
$727$	18.6907	+	2.96032i	0.693201	+	0.109792i	0.493086	−	0.869980i	$-0.335869\pi$
$727$	18.6907	+	2.96032i	0.693201	+	0.109792i	0.200114	+	0.979773i	$0.435869\pi$
$728$	78.4598	−	10.0928i	2.90791	−	0.374064i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	−32.2614	+	6.96312i	−1.19405	+	0.257717i
$731$	8.58963	−	2.79094i	0.317699	−	0.103227i
$732$	−0.348164	−	0.559639i	−0.0128685	−	0.0206848i
$733$	−9.88212	+	19.3947i	−0.365004	+	0.716361i	−0.998345	−	0.0575120i	$-0.981683\pi$
$733$	−9.88212	+	19.3947i	−0.365004	+	0.716361i	0.633341	+	0.773873i	$0.281683\pi$
$734$	−22.6391	+	24.6573i	−0.835624	+	0.910116i
$735$	−8.54292	+	17.3128i	−0.315110	+	0.638593i
$736$	−15.2519	+	0.857198i	−0.562193	+	0.0315968i
$737$	34.5350	−	5.46981i	1.27211	−	0.201483i
$738$	16.4724	−	0.702887i	0.606359	−	0.0258736i
$739$	−14.1246	+	10.2621i	−0.519582	+	0.377499i	−0.816447	−	0.577421i	$-0.804059\pi$
$739$	−14.1246	+	10.2621i	−0.519582	+	0.377499i	0.296864	+	0.954920i	$0.404059\pi$
$740$	27.9737	−	7.29854i	1.02833	−	0.268300i
$741$	21.8543	+	15.8781i	0.802837	+	0.583295i
$742$	7.77728	+	5.15874i	0.285513	+	0.189383i
$743$	−2.38473	+	2.38473i	−0.0874874	+	0.0874874i	−0.749496	−	0.662009i	$-0.769704\pi$
$743$	−2.38473	+	2.38473i	−0.0874874	+	0.0874874i	0.662009	+	0.749496i	$0.269704\pi$
$744$	−0.0478500	+	1.64129i	−0.00175427	+	0.0601725i
$745$	−3.33138	−	4.46350i	−0.122052	−	0.163530i
$746$	10.3835	+	4.74441i	0.380165	+	0.173705i
$747$	−11.3745	+	5.79562i	−0.416173	+	0.212051i
$748$	−4.64194	+	11.4241i	−0.169726	+	0.417707i
$749$		−	14.7983i		−	0.540718i
$750$	13.4595	−	8.29716i	0.491470	−	0.302969i
$751$		−	23.8733i		−	0.871150i	−0.900152	−	0.435575i	$-0.856545\pi$
$751$		−	23.8733i		−	0.871150i	0.900152	−	0.435575i	$-0.143455\pi$
$752$	13.3800	+	9.44784i	0.487918	+	0.344527i
$753$	−13.0544	+	6.65157i	−0.475731	+	0.242397i
$754$	−15.2878	+	33.4582i	−0.556747	+	1.21848i
$755$	−13.9330	−	18.6679i	−0.507075	−	0.679396i
$756$	0.673644	+	7.87918i	0.0245002	+	0.286563i
$757$	24.5774	−	24.5774i	0.893282	−	0.893282i	−0.101549	−	0.994831i	$-0.532380\pi$
$757$	24.5774	−	24.5774i	0.893282	−	0.893282i	0.994831	+	0.101549i	$0.0323798\pi$
$758$	−23.2758	+	35.0905i	−0.845415	+	1.27454i
$759$	5.56907	+	4.04617i	0.202145	+	0.146867i
$760$	3.38915	+	23.9143i	0.122937	+	0.867462i
$761$	1.32553	−	0.963056i	0.0480505	−	0.0349108i	−0.563501	−	0.826116i	$-0.690546\pi$
$761$	1.32553	−	0.963056i	0.0480505	−	0.0349108i	0.611551	+	0.791205i	$0.290546\pi$
$762$	−0.315486	−	7.39353i	−0.0114288	−	0.267839i
$763$	−4.76512	+	0.754722i	−0.172509	+	0.0273228i
$764$	−25.0834	+	10.5888i	−0.907484	+	0.383089i
$765$	2.39324	−	4.85007i	0.0865278	−	0.175355i
$766$	−2.80191	−	2.57258i	−0.101237	−	0.0929509i
$767$	13.2099	−	25.9259i	0.476982	−	0.936130i
$768$	15.8648	+	2.07544i	0.572472	+	0.0748911i
$769$	20.9257	−	6.79916i	0.754598	−	0.245184i	0.0936397	−	0.995606i	$-0.470150\pi$
$769$	20.9257	−	6.79916i	0.754598	−	0.245184i	0.660959	+	0.750422i	$0.270150\pi$
$770$	−6.72446	−	31.1556i	−0.242333	−	1.12277i
$771$	13.7545	+	4.46912i	0.495357	+	0.160951i
$772$	12.3642	+	50.0110i	0.444996	+	1.79993i
$773$	11.5497	+	1.82929i	0.415413	+	0.0657950i	0.360643	−	0.932704i	$-0.382557\pi$
$773$	11.5497	+	1.82929i	0.415413	+	0.0657950i	0.0547704	+	0.998499i	$0.482557\pi$
$774$	−0.602989	+	5.24625i	−0.0216740	+	0.188573i
$775$	0.0745857	+	2.90169i	0.00267920	+	0.104232i
$776$	−0.148900	+	0.416550i	−0.00534520	+	0.0149533i
$777$	−3.99852	+	25.2457i	−0.143446	+	0.905684i
$778$	4.19006	+	11.2407i	0.150221	+	0.402998i
$779$	−13.7583	+	42.3438i	−0.492943	+	1.51712i
$780$	23.6471	−	21.0118i	0.846703	−	0.752344i
$781$	−11.1780	−	34.4024i	−0.399981	−	1.23101i
$782$	−7.23467	+	5.74305i	−0.258711	+	0.205371i
$783$	−3.27649	−	1.66946i	−0.117092	−	0.0596615i
$784$	−30.5568	+	16.0927i	−1.09131	+	0.574738i
$785$	5.63162	−	38.7749i	0.201001	−	1.38394i
$786$	10.9449	+	19.3897i	0.390391	+	0.691608i
$787$	0.285242	+	1.80095i	0.0101678	+	0.0641969i	0.992251	−	0.124253i	$-0.0396536\pi$
$787$	0.285242	+	1.80095i	0.0101678	+	0.0641969i	−0.982083	+	0.188450i	$0.939654\pi$
$788$	0.358187	−	4.98077i	0.0127599	−	0.177433i
$789$	5.73280	+	7.89052i	0.204093	+	0.280910i
$790$	−1.13148	−	20.3683i	−0.0402562	−	0.724672i
$791$	−1.33496	+	1.83742i	−0.0474658	+	0.0653311i
$792$	−4.94751	−	5.24465i	−0.175802	−	0.186361i
$793$	−1.64831	−	1.64831i	−0.0585334	−	0.0585334i
$794$	−10.5188	−	51.9643i	−0.373297	−	1.84414i
$795$	3.73170	−	0.0479524i	0.132350	−	0.00170070i
$796$	37.5626	+	22.6711i	1.33137	+	0.803556i
$797$	−17.4337	−	34.2156i	−0.617534	−	1.21198i	−0.961967	−	0.273167i	$-0.911929\pi$
$797$	−17.4337	−	34.2156i	−0.617534	−	1.21198i	0.344433	−	0.938811i	$-0.388071\pi$
$798$	−20.5724	−	5.72713i	−0.728254	−	0.202738i
$799$	9.90427			0.350388
$800$	28.2043	+	2.12603i	0.997171	+	0.0751665i
$801$	10.1893			0.360020
$802$	41.8270	+	11.6442i	1.47696	+	0.411171i
$803$	12.0784	+	23.7051i	0.426236	+	0.836536i
$804$	−23.4870	−	14.1757i	−0.828322	−	0.499938i
$805$	7.08556	−	22.7999i	0.249733	−	0.803589i
$806$	1.15216	+	5.69183i	0.0405830	+	0.200486i
$807$	9.08826	+	9.08826i	0.319922	+	0.319922i
$808$	5.95901	+	6.31690i	0.209637	+	0.222228i
$809$	21.0645	−	28.9929i	0.740590	−	1.01933i	−0.257995	−	0.966146i	$-0.583062\pi$
$809$	21.0645	−	28.9929i	0.740590	−	1.01933i	0.998585	−	0.0531880i	$-0.0169383\pi$
$810$	1.99778	+	2.45130i	0.0701948	+	0.0861300i
$811$	15.0024	+	20.6490i	0.526805	+	0.725084i	0.986639	−	0.162920i	$-0.0520913\pi$
$811$	15.0024	+	20.6490i	0.526805	+	0.725084i	−0.459835	+	0.888005i	$0.652091\pi$
$812$	2.08585	−	29.0048i	0.0731991	−	1.01787i
$813$	1.73245	+	10.9383i	0.0607598	+	0.383622i
$814$	−11.4556	−	20.2946i	−0.401520	−	0.711324i
$815$	20.0266	−	20.5479i	0.701500	−	0.719763i
$816$	8.56027	−	4.50825i	0.299669	−	0.157820i
$817$	−12.7061	−	6.47406i	−0.444529	−	0.226499i
$818$	−16.7370	+	13.2862i	−0.585197	+	0.464543i
$819$	8.64268	+	26.5994i	0.302000	+	0.929459i
$820$	44.9801	+	26.3655i	1.57077	+	0.920723i
$821$	−10.1503	+	31.2395i	−0.354249	+	1.09027i	0.602194	+	0.798350i	$0.294293\pi$
$821$	−10.1503	+	31.2395i	−0.354249	+	1.09027i	−0.956443	+	0.291918i	$0.905707\pi$
$822$	−7.27115	−	19.5064i	−0.253611	−	0.680362i
$823$	5.75145	−	36.3132i	0.200483	−	1.26580i	−0.658023	−	0.752997i	$-0.728607\pi$
$823$	5.75145	−	36.3132i	0.200483	−	1.26580i	0.858506	−	0.512803i	$-0.171393\pi$
$824$	−0.799907	+	2.23775i	−0.0278661	+	0.0779558i
$825$	−9.24112	−	8.77795i	−0.321734	−	0.305609i
$826$	−2.62650	+	22.8517i	−0.0913878	+	0.795111i
$827$	14.0876	+	2.23126i	0.489875	+	0.0775885i	0.396485	−	0.918041i	$-0.370230\pi$
$827$	14.0876	+	2.23126i	0.489875	+	0.0775885i	0.0933894	+	0.995630i	$0.470230\pi$
$828$	−1.29623	−	5.24302i	−0.0450470	−	0.182208i
$829$	−19.6847	−	6.39596i	−0.683679	−	0.222141i	−0.0534735	−	0.998569i	$-0.517029\pi$
$829$	−19.6847	−	6.39596i	−0.683679	−	0.222141i	−0.630205	+	0.776429i	$0.717029\pi$
$830$	−40.1613	−	4.09391i	−1.39402	−	0.142102i
$831$	6.49562	−	2.11055i	0.225330	−	0.0732143i
$832$	56.3119	−	5.58112i	1.95227	−	0.193491i
$833$	−9.48056	+	18.6067i	−0.328482	+	0.644682i
$834$	10.2365	+	9.39869i	0.354462	+	0.325450i
$835$	−7.09328	−	41.3400i	−0.245473	−	1.43063i
$836$	17.9373	−	7.57209i	0.620373	−	0.261886i
$837$	−0.573382	+	0.0908148i	−0.0198190	+	0.00313902i
$838$	0.175655	+	4.11654i	0.00606789	+	0.142203i
$839$	−21.7876	+	15.8297i	−0.752193	+	0.546500i	−0.896506	−	0.443032i	$-0.853903\pi$
$839$	−21.7876	+	15.8297i	−0.752193	+	0.546500i	0.144313	+	0.989532i	$0.453903\pi$
$840$	−11.7146	+	22.0935i	−0.404191	+	0.762298i
$841$	−12.5216	−	9.09747i	−0.431779	−	0.313706i
$842$	0.989348	−	1.49154i	0.0340952	−	0.0514017i
$843$	0.00787496	−	0.00787496i	0.000271228	−	0.000271228i
$844$	2.84181	+	33.2388i	0.0978190	+	1.14413i
$845$	47.8101	−	67.6152i	1.64472	−	2.32604i
$846$	−2.40670	+	5.26721i	−0.0827440	+	0.181090i
$847$	15.8605	−	8.08132i	0.544972	−	0.277677i
$848$	5.45350	+	3.85081i	0.187274	+	0.132237i
$849$			12.3168i			0.422710i
$850$	14.6729	−	8.78706i	0.503278	−	0.301394i
$851$		−	17.4570i		−	0.598417i
$852$	−10.6836	+	26.2930i	−0.366013	+	0.900782i
$853$	−7.68516	+	3.91578i	−0.263135	+	0.134074i	−0.580581	−	0.814202i	$-0.697175\pi$
$853$	−7.68516	+	3.91578i	−0.263135	+	0.134074i	0.317446	+	0.948276i	$0.397175\pi$
$854$	1.67609	+	0.765839i	0.0573545	+	0.0262065i
$855$	−8.08694	+	2.74297i	−0.276567	+	0.0938078i
$856$	0.308487	−	10.5813i	0.0105439	−	0.361662i
$857$	−2.08624	+	2.08624i	−0.0712645	+	0.0712645i	−0.741841	−	0.670576i	$-0.766047\pi$
$857$	−2.08624	+	2.08624i	−0.0712645	+	0.0712645i	0.670576	+	0.741841i	$0.266047\pi$
$858$	−21.2501	−	14.0954i	−0.725467	−	0.481208i
$859$	25.7659	+	18.7200i	0.879122	+	0.638719i	0.933019	−	0.359827i	$-0.117164\pi$
$859$	25.7659	+	18.7200i	0.879122	+	0.638719i	−0.0538971	+	0.998546i	$0.517164\pi$
$860$	−10.5944	+	12.9084i	−0.361267	+	0.440172i
$861$	−37.2931	+	27.0950i	−1.27094	+	0.923395i
$862$	−22.3460	+	0.953514i	−0.761107	+	0.0324768i
$863$	−10.0882	+	1.59782i	−0.343407	+	0.0543903i	−0.325756	−	0.945454i	$-0.605619\pi$
$863$	−10.0882	+	1.59782i	−0.343407	+	0.0543903i	−0.0176509	+	0.999844i	$0.505619\pi$
$864$	0.317429	+	5.64794i	0.0107992	+	0.192147i
$865$	−4.28327	+	2.25222i	−0.145636	+	0.0765779i
$866$	−6.56234	+	7.14733i	−0.222997	+	0.242876i
$867$	−5.06192	+	9.93458i	−0.171912	+	0.337396i
$868$	−2.42504	−	3.89801i	−0.0823113	−	0.132307i
$869$	−15.6394	+	5.08156i	−0.530532	+	0.172380i
$870$	−5.84584	−	10.0524i	−0.198193	−	0.340808i
$871$	−92.2759	−	29.9823i	−3.12665	−	1.01591i
$872$	−3.42297	+	0.440318i	−0.115916	+	0.0149111i
$873$	−0.154474	−	0.0244662i	−0.00522814	−	0.000828055i
$874$	14.4892	+	1.66535i	0.490105	+	0.0563313i
$875$	−18.5365	+	40.1326i	−0.626649	+	1.35673i
$876$	4.73578	−	20.3294i	0.160007	−	0.686868i
$877$	−1.91731	+	12.1054i	−0.0647429	+	0.408771i	0.933938	+	0.357434i	$0.116348\pi$
$877$	−1.91731	+	12.1054i	−0.0647429	+	0.408771i	−0.998681	+	0.0513369i	$0.983652\pi$
$878$	38.6188	−	14.3955i	1.30332	−	0.485823i
$879$	−6.87619	+	21.1627i	−0.231928	+	0.713802i
$880$	−4.15875	−	22.4176i	−0.140192	−	0.755696i
$881$	−3.49604	−	10.7597i	−0.117785	−	0.362504i	0.874733	−	0.484605i	$-0.161037\pi$
$881$	−3.49604	−	10.7597i	−0.117785	−	0.362504i	−0.992518	+	0.122101i	$0.961037\pi$
$882$	−7.59151	−	9.56322i	−0.255619	−	0.322010i
$883$	37.1447	+	18.9262i	1.25002	+	0.636917i	0.948571	−	0.316565i	$-0.102530\pi$
$883$	37.1447	+	18.9262i	1.25002	+	0.636917i	0.301450	+	0.953482i	$0.402530\pi$
$884$	25.8685	−	22.3975i	0.870053	−	0.753310i
$885$	4.28088	+	8.14136i	0.143900	+	0.273669i
$886$	20.2164	−	11.4115i	0.679182	−	0.383377i
$887$	−2.00018	−	12.6287i	−0.0671596	−	0.424029i	−0.998245	−	0.0592267i	$-0.981137\pi$
$887$	−2.00018	−	12.6287i	−0.0671596	−	0.424029i	0.931085	−	0.364802i	$-0.118863\pi$
$888$	−3.38536	+	17.9682i	−0.113605	+	0.602974i
$889$	12.1614	+	16.7387i	0.407880	+	0.561399i
$890$	27.0779	+	17.4642i	0.907653	+	0.585400i
$891$	1.49834	−	2.06228i	0.0501962	−	0.0690891i
$892$	−7.39348	+	8.77591i	−0.247552	+	0.293839i
$893$	−11.0578	−	11.0578i	−0.370036	−	0.370036i
$894$	3.45253	−	0.698871i	0.115470	−	0.0233737i
$895$	4.48670	+	13.2279i	0.149974	+	0.442159i
$896$	−40.1712	+	19.6827i	−1.34202	+	0.657553i
$897$	−8.67190	−	17.0196i	−0.289546	−	0.568267i
$898$	−3.19382	+	11.4725i	−0.106579	+	0.382842i
$899$	2.13478			0.0711988
$900$	1.10760	+	9.93847i	0.0369200	+	0.331282i
$901$	4.03684			0.134487
$902$	11.2717	−	40.4888i	0.375305	−	1.34813i
$903$	−6.70291	−	13.1552i	−0.223059	−	0.437778i
$904$	−0.992850	+	1.28599i	−0.0330217	+	0.0427715i
$905$	−11.1713	−	7.89911i	−0.371346	−	0.262575i
$906$	14.4397	−	2.92293i	0.479727	−	0.0971078i
$907$	−12.5008	−	12.5008i	−0.415081	−	0.415081i	0.468423	−	0.883504i	$-0.344822\pi$
$907$	−12.5008	−	12.5008i	−0.415081	−	0.415081i	−0.883504	+	0.468423i	$0.844822\pi$
$908$	−27.0562	−	22.7941i	−0.897890	−	0.756449i
$909$	−1.80467	+	2.48391i	−0.0598570	+	0.0823861i
$910$	−22.6230	+	85.5012i	−0.749945	+	2.83434i
$911$	−26.5976	−	36.6085i	−0.881219	−	1.21289i	−0.976082	−	0.217403i	$-0.930241\pi$
$911$	−26.5976	−	36.6085i	−0.881219	−	1.21289i	0.0948630	−	0.995490i	$-0.469759\pi$
$912$	−14.5906	−	4.52396i	−0.483143	−	0.149803i
$913$	5.09069	+	32.1413i	0.168477	+	1.06372i
$914$	−32.7508	+	18.4868i	−1.08330	+	0.611490i
$915$	0.726283	−	0.124618i	0.0240102	−	0.00411976i
$916$	12.9289	+	14.9325i	0.427183	+	0.493385i
$917$	−55.4665	−	28.2616i	−1.83166	−	0.933280i
$918$	2.12671	+	2.67907i	0.0701918	+	0.0884225i
$919$	1.35729	+	4.17730i	0.0447728	+	0.137796i	0.970944	−	0.239307i	$-0.0769202\pi$
$919$	1.35729	+	4.17730i	0.0447728	+	0.137796i	−0.926171	+	0.377103i	$0.876920\pi$
$920$	5.54172	−	16.1550i	0.182705	−	0.532615i
$921$	6.86534	−	21.1294i	0.226221	−	0.696236i
$922$	−25.9716	+	9.68111i	−0.855328	+	0.318830i
$923$	−15.7021	+	99.1390i	−0.516840	+	3.26320i
$924$	19.6326	+	4.57345i	0.645866	+	0.150456i
$925$	−4.23435	+	32.0439i	−0.139225	+	1.05360i
$926$	18.8348	+	2.16482i	0.618951	+	0.0711405i
$927$	−0.829849	−	0.131435i	−0.0272558	−	0.00431690i
$928$	2.09610	−	20.6960i	0.0688078	−	0.679380i
$929$	46.4429	+	15.0902i	1.52374	+	0.495094i	0.946836	−	0.321716i	$-0.104260\pi$
$929$	46.4429	+	15.0902i	1.52374	+	0.495094i	0.576906	+	0.816810i	$0.304260\pi$
$930$	−1.67941	−	0.741426i	−0.0550702	−	0.0243123i
$931$	31.3585	−	10.1890i	1.02773	−	0.333931i
$932$	34.8631	−	21.6891i	1.14198	−	0.710452i
$933$	9.82881	−	19.2901i	0.321781	−	0.631530i
$934$	24.6989	−	26.9007i	0.808173	−	0.880217i
$935$	−9.87311	−	9.62259i	−0.322885	−	0.314692i
$936$	5.62533	+	19.1997i	0.183870	+	0.627562i
$937$	−16.8852	+	2.67436i	−0.551617	+	0.0873675i	−0.426020	−	0.904714i	$-0.640085\pi$
$937$	−16.8852	+	2.67436i	−0.551617	+	0.0873675i	−0.125597	+	0.992081i	$0.540085\pi$
$938$	76.6305	−	3.26986i	2.50207	−	0.106765i
$939$	−23.2758	+	16.9109i	−0.759578	+	0.551866i
$940$	−15.4237	+	9.87255i	−0.503065	+	0.322007i
$941$	−11.3890	−	8.27459i	−0.371271	−	0.269744i	0.386467	−	0.922303i	$-0.373695\pi$
$941$	−11.3890	−	8.27459i	−0.371271	−	0.269744i	−0.757738	+	0.652559i	$0.773695\pi$
$942$	20.6507	+	13.6978i	0.672838	+	0.446299i
$943$	22.2616	−	22.2616i	0.724939	−	0.724939i
$944$	−2.35441	+	16.2850i	−0.0766296	+	0.530032i
$945$	−8.44302	−	2.62385i	−0.274651	−	0.0853540i
$946$	12.2438	+	5.59446i	0.398081	+	0.181891i
$947$	−25.5513	+	13.0190i	−0.830306	+	0.423062i	−0.816852	−	0.576847i	$-0.804283\pi$
$947$	−25.5513	+	13.0190i	−0.830306	+	0.423062i	−0.0134542	+	0.999909i	$0.504283\pi$
$948$	11.9529	+	4.85678i	0.388211	+	0.157741i
$949$		−	73.8250i		−	2.39646i
$950$	−26.1924	−	6.57141i	−0.849793	−	0.213205i
$951$			8.45927i			0.274311i
$952$	−12.9774	+	23.7333i	−0.420600	+	0.769201i
$953$	28.3705	−	14.4555i	0.919009	−	0.468259i	0.0705434	−	0.997509i	$-0.477527\pi$
$953$	28.3705	−	14.4555i	0.919009	−	0.468259i	0.848466	+	0.529250i	$0.177527\pi$
$954$	−0.980937	+	2.14684i	−0.0317590	+	0.0695066i
$955$	−0.391128	−	30.4380i	−0.0126566	−	0.984949i
$956$	32.1183	−	2.74600i	1.03878	−	0.0888121i
$957$	−6.62833	+	6.62833i	−0.214263	+	0.214263i
$958$	9.87808	−	14.8921i	0.319146	−	0.481143i
$959$	47.0873	+	34.2109i	1.52053	+	1.10473i
$960$	−8.83689	+	15.5534i	−0.285209	+	0.501985i
$961$	−24.8069	+	18.0233i	−0.800222	+	0.581395i
$962$	2.75687	+	64.6082i	0.0888849	+	2.08305i
$963$	3.69657	−	0.585480i	0.119120	−	0.0188668i
$964$	−12.1357	−	28.7479i	−0.390865	−	0.925906i
$965$	−56.9994	−	8.27852i	−1.83487	−	0.266495i
$966$	11.1229	+	10.2125i	0.357874	+	0.328583i
$967$	7.72923	−	15.1695i	0.248555	−	0.487817i	−0.732694	−	0.680558i	$-0.761738\pi$
$967$	7.72923	−	15.1695i	0.248555	−	0.487817i	0.981250	+	0.192740i	$0.0617375\pi$
$968$	11.5093	−	5.44780i	0.369922	−	0.175099i
$969$	−8.78488	+	2.85438i	−0.282211	+	0.0916959i
$970$	−0.368578	−	0.329783i	−0.0118343	−	0.0105887i
$971$	17.6810	+	5.74489i	0.567409	+	0.184362i	0.578652	−	0.815574i	$-0.303579\pi$
$971$	17.6810	+	5.74489i	0.567409	+	0.184362i	−0.0112430	+	0.999937i	$0.503579\pi$
$972$	−1.94154	+	0.480006i	−0.0622751	+	0.0153962i
$973$	−38.3755	−	6.07807i	−1.23026	−	0.194854i
$974$	−2.98293	+	25.9527i	−0.0955794	+	0.831580i
$975$	11.7898	+	33.3445i	0.377577	+	1.06788i
$976$	1.18250	+	0.582542i	0.0378508	+	0.0186467i
$977$	5.04102	−	31.8278i	0.161277	−	1.01826i	−0.765715	−	0.643180i	$-0.777615\pi$
$977$	5.04102	−	31.8278i	0.161277	−	1.01826i	0.926992	−	0.375081i	$-0.122385\pi$
$978$	6.33840	+	17.0040i	0.202680	+	0.543729i
$979$	8.02630	−	24.7024i	0.256522	−	0.789493i
$980$	−3.78322	−	38.4259i	−0.120850	−	1.22747i
$981$	−0.377054	−	1.16045i	−0.0120384	−	0.0370504i
$982$	−9.16611	+	7.27627i	−0.292502	+	0.232195i
$983$	43.0059	+	21.9126i	1.37167	+	0.698903i	0.975649	−	0.219337i	$-0.0703894\pi$
$983$	43.0059	+	21.9126i	1.37167	+	0.698903i	0.396025	+	0.918240i	$0.370389\pi$
$984$	−27.2307	+	18.5965i	−0.868083	+	0.592834i
$985$	5.00669	+	2.47053i	0.159526	+	0.0787175i
$986$	−6.18309	−	10.9538i	−0.196910	−	0.348841i
$987$	−2.53282	−	15.9916i	−0.0806205	−	0.509018i
$988$	−53.8876	−	3.87527i	−1.71439	−	0.123289i
$989$	5.92703	+	8.15786i	0.188469	+	0.259405i
$990$	7.51653	−	2.91239i	0.238891	−	0.0925618i
$991$	22.3385	−	30.7463i	0.709606	−	0.976689i	−0.290199	−	0.956966i	$-0.593722\pi$
$991$	22.3385	−	30.7463i	0.709606	−	0.976689i	0.999805	−	0.0197230i	$-0.00627845\pi$
$992$	−1.65273	−	2.83777i	−0.0524744	−	0.0900993i
$993$	13.2511	+	13.2511i	0.420511	+	0.420511i
$994$	−15.7427	−	77.7712i	−0.499328	−	2.46675i
$995$	−39.3107	+	29.3399i	−1.24623	+	0.930138i
$996$	13.1931	−	21.8591i	0.418041	−	0.692631i
$997$	15.6369	+	30.6891i	0.495225	+	0.971934i	0.994425	+	0.105447i	$0.0336274\pi$
$997$	15.6369	+	30.6891i	0.495225	+	0.971934i	−0.499200	+	0.866487i	$0.666373\pi$
$998$	−22.8349	−	6.35699i	−0.722826	−	0.201227i
$999$	−6.46450			−0.204528

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.223.27	yes	240
3.2	odd	2		900.2.bj.f.523.4		240
4.3	odd	2	inner	300.2.w.a.223.1	yes	240
12.11	even	2		900.2.bj.f.523.30		240
25.12	odd	20	inner	300.2.w.a.187.1	✓	240
75.62	even	20		900.2.bj.f.487.30		240
100.87	even	20	inner	300.2.w.a.187.27	yes	240
300.287	odd	20		900.2.bj.f.487.4		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.187.1	✓	240	25.12	odd	20	inner
300.2.w.a.187.27	yes	240	100.87	even	20	inner
300.2.w.a.223.1	yes	240	4.3	odd	2	inner
300.2.w.a.223.27	yes	240	1.1	even	1	trivial
900.2.bj.f.487.4		240	300.287	odd	20
900.2.bj.f.487.30		240	75.62	even	20
900.2.bj.f.523.4		240	3.2	odd	2
900.2.bj.f.523.30		240	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.36240 + 0.379279i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(1.71229 + 1.03346i) q^{4} +(-1.79198 + 1.33746i) q^{5} +(-0.280579 - 1.38610i) q^{6} +(2.79588 + 2.79588i) q^{7} +(1.94087 + 2.05743i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(1.36240 + 0.379279i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(1.71229 + 1.03346i) q^{4} +(-1.79198 + 1.33746i) q^{5} +(-0.280579 - 1.38610i) q^{6} +(2.79588 + 2.79588i) q^{7} +(1.94087 + 2.05743i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-2.94867 + 1.14251i) q^{10} +(1.49834 + 2.06228i) q^{11} +(0.143457 - 1.99485i) q^{12} +(-1.10654 - 6.98639i) q^{13} +(2.74870 + 4.86953i) q^{14} +(2.00523 + 0.989470i) q^{15} +(1.86391 + 3.53919i) q^{16} +(2.15509 + 1.09807i) q^{17} +(-1.10764 + 0.879274i) q^{18} +(-1.18012 - 3.63205i) q^{19} +(-4.45062 + 0.438185i) q^{20} +(1.22184 - 3.76044i) q^{21} +(1.25916 + 3.37795i) q^{22} +(-0.422442 + 2.66719i) q^{23} +(0.952052 - 2.66338i) q^{24} +(1.42238 - 4.79341i) q^{25} +(1.14224 - 9.93798i) q^{26} +(0.987688 + 0.156434i) q^{27} +(1.89793 + 7.67680i) q^{28} +(-3.49731 - 1.13635i) q^{29} +(2.35665 + 2.10860i) q^{30} +(-0.552116 + 0.179393i) q^{31} +(1.19705 + 5.52875i) q^{32} +(1.15728 - 2.27129i) q^{33} +(2.51962 + 2.31340i) q^{34} +(-8.74953 - 1.27077i) q^{35} +(-1.84255 + 0.777821i) q^{36} +(-6.38491 + 1.01127i) q^{37} +(-0.230247 - 5.39592i) q^{38} +(-5.72257 + 4.15769i) q^{39} +(-6.22974 - 1.09104i) q^{40} +(-9.43182 - 6.85262i) q^{41} +(3.09090 - 4.65983i) q^{42} +(2.64040 - 2.64040i) q^{43} +(0.434299 + 5.07972i) q^{44} +(-0.0287311 - 2.23588i) q^{45} +(-1.58715 + 3.47357i) q^{46} +(3.64854 - 1.85903i) q^{47} +(2.30724 - 3.26751i) q^{48} +8.63383i q^{49} +(3.75591 - 5.99109i) q^{50} -2.41871i q^{51} +(5.32547 - 13.1063i) q^{52} +(1.48710 - 0.757713i) q^{53} +(1.28630 + 0.587737i) q^{54} +(-5.44322 - 1.69160i) q^{55} +(-0.325905 + 11.1788i) q^{56} +(-2.70042 + 2.70042i) q^{57} +(-4.33376 - 2.87462i) q^{58} +(3.32796 + 2.41790i) q^{59} +(2.41096 + 3.76660i) q^{60} +(0.266612 - 0.193705i) q^{61} +(-0.820246 + 0.0350003i) q^{62} +(-3.90528 + 0.618536i) q^{63} +(-0.466067 + 7.98641i) q^{64} +(11.3269 + 11.0395i) q^{65} +(2.43813 - 2.65548i) q^{66} +(6.22724 - 12.2216i) q^{67} +(2.55533 + 4.10742i) q^{68} +(2.56827 - 0.834482i) q^{69} +(-11.4384 - 5.04982i) q^{70} +(-13.4958 - 4.38504i) q^{71} +(-2.80531 + 0.360866i) q^{72} +(10.3084 + 1.63269i) q^{73} +(-9.08238 - 1.04390i) q^{74} +(-4.91671 + 0.908811i) q^{75} +(1.73287 - 7.43876i) q^{76} +(-1.57673 + 9.95505i) q^{77} +(-9.37338 + 3.49400i) q^{78} +(-1.99346 + 6.13522i) q^{79} +(-8.07362 - 3.84925i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-10.2509 - 12.9133i) q^{82} +(11.3745 + 5.79562i) q^{83} +(5.97844 - 5.17626i) q^{84} +(-5.33050 + 0.914627i) q^{85} +(4.59874 - 2.59584i) q^{86} +(0.575255 + 3.63202i) q^{87} +(-1.33494 + 7.08535i) q^{88} +(-5.98909 - 8.24328i) q^{89} +(0.808881 - 3.05708i) q^{90} +(16.4393 - 22.6268i) q^{91} +(-3.47979 + 4.13044i) q^{92} +(0.410496 + 0.410496i) q^{93} +(5.67588 - 1.14893i) q^{94} +(6.97250 + 4.93019i) q^{95} +(4.38270 - 3.57658i) q^{96} +(0.0710037 + 0.139353i) q^{97} +(-3.27463 + 11.7628i) q^{98} -2.54912 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8}+O(q^{10}) \) 240 * q + 12 * q^8	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

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